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Finding the Fourth Proportional to 2,562.86, 3,553.05 and 2,472.77

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Solution

The fourth proportional to 2,562.86, 3,553.05 and 2,472.77 is: 3,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.86 : 3,553.05 = 2,472.77 : x
  2. Step 2: Convert to fraction form
    2,562.86/3,553.05 = 2,472.77/x
  3. Step 3: Cross multiply
    2,562.86x = 3,553.05 × 2,472.77
  4. Step 4: Simplify right side
    2,562.86x = 8,785,875.45
  5. Step 5: Solve for x
    x = 8,785,875.45/2,562.86
  6. Step 6: Final answer
    x = 3,428.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.