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Finding the Fourth Proportional to 1,697,829.56, 2,543,754.85 and 1,596,689.69

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Solution

The fourth proportional to 1,697,829.56, 2,543,754.85 and 1,596,689.69 is: 2,392,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697,829.56 : 2,543,754.85 = 1,596,689.69 : x
  2. Step 2: Convert to fraction form
    1,697,829.56/2,543,754.85 = 1,596,689.69/x
  3. Step 3: Cross multiply
    1,697,829.56x = 2,543,754.85 × 1,596,689.69
  4. Step 4: Simplify right side
    1,697,829.56x = 4,061,587,126,172.00
  5. Step 5: Solve for x
    x = 4,061,587,126,172.00/1,697,829.56
  6. Step 6: Final answer
    x = 2,392,223.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.