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Finding the Fourth Proportional to 2,566.92, 3,542.14 and 1,572.06

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Solution

The fourth proportional to 2,566.92, 3,542.14 and 1,572.06 is: 2,169.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.92 : 3,542.14 = 1,572.06 : x
  2. Step 2: Convert to fraction form
    2,566.92/3,542.14 = 1,572.06/x
  3. Step 3: Cross multiply
    2,566.92x = 3,542.14 × 1,572.06
  4. Step 4: Simplify right side
    2,566.92x = 5,568,454.14
  5. Step 5: Solve for x
    x = 5,568,454.14/2,566.92
  6. Step 6: Final answer
    x = 2,169.32

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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.