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Finding the Fourth Proportional to 2,566.77, 3,542.13 and 1,558.13

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Solution

The fourth proportional to 2,566.77, 3,542.13 and 1,558.13 is: 2,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.77 : 3,542.13 = 1,558.13 : x
  2. Step 2: Convert to fraction form
    2,566.77/3,542.13 = 1,558.13/x
  3. Step 3: Cross multiply
    2,566.77x = 3,542.13 × 1,558.13
  4. Step 4: Simplify right side
    2,566.77x = 5,519,081.31
  5. Step 5: Solve for x
    x = 5,519,081.31/2,566.77
  6. Step 6: Final answer
    x = 2,150.20

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