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Finding the Fourth Proportional to 2,552.86, 3,523.27 and 1,557.92

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Solution

The fourth proportional to 2,552.86, 3,523.27 and 1,557.92 is: 2,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.86 : 3,523.27 = 1,557.92 : x
  2. Step 2: Convert to fraction form
    2,552.86/3,523.27 = 1,557.92/x
  3. Step 3: Cross multiply
    2,552.86x = 3,523.27 × 1,557.92
  4. Step 4: Simplify right side
    2,552.86x = 5,488,977.71
  5. Step 5: Solve for x
    x = 5,488,977.71/2,552.86
  6. Step 6: Final answer
    x = 2,150.13

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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.