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Finding the Fourth Proportional to 1,542.36, 2,314.76 and 569.15

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Solution

The fourth proportional to 1,542.36, 2,314.76 and 569.15 is: 854.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.36 : 2,314.76 = 569.15 : x
  2. Step 2: Convert to fraction form
    1,542.36/2,314.76 = 569.15/x
  3. Step 3: Cross multiply
    1,542.36x = 2,314.76 × 569.15
  4. Step 4: Simplify right side
    1,542.36x = 1,317,445.65
  5. Step 5: Solve for x
    x = 1,317,445.65/1,542.36
  6. Step 6: Final answer
    x = 854.18

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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.