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Finding the Fourth Proportional to 3,024.77, 4,173.78 and 1,698.46

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Solution

The fourth proportional to 3,024.77, 4,173.78 and 1,698.46 is: 2,343.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.77 : 4,173.78 = 1,698.46 : x
  2. Step 2: Convert to fraction form
    3,024.77/4,173.78 = 1,698.46/x
  3. Step 3: Cross multiply
    3,024.77x = 4,173.78 × 1,698.46
  4. Step 4: Simplify right side
    3,024.77x = 7,088,998.38
  5. Step 5: Solve for x
    x = 7,088,998.38/3,024.77
  6. Step 6: Final answer
    x = 2,343.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.