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Finding the Fourth Proportional to 2,699.19, 4,052.12 and 2,574.50

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Solution

The fourth proportional to 2,699.19, 4,052.12 and 2,574.50 is: 3,864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.19 : 4,052.12 = 2,574.50 : x
  2. Step 2: Convert to fraction form
    2,699.19/4,052.12 = 2,574.50/x
  3. Step 3: Cross multiply
    2,699.19x = 4,052.12 × 2,574.50
  4. Step 4: Simplify right side
    2,699.19x = 10,432,149.81
  5. Step 5: Solve for x
    x = 10,432,149.81/2,699.19
  6. Step 6: Final answer
    x = 3,864.92

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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.