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Finding the Fourth Proportional to 1,562.52, 2,156.76 and 899.82

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Solution

The fourth proportional to 1,562.52, 2,156.76 and 899.82 is: 1,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562.52 : 2,156.76 = 899.82 : x
  2. Step 2: Convert to fraction form
    1,562.52/2,156.76 = 899.82/x
  3. Step 3: Cross multiply
    1,562.52x = 2,156.76 × 899.82
  4. Step 4: Simplify right side
    1,562.52x = 1,940,691.07
  5. Step 5: Solve for x
    x = 1,940,691.07/1,562.52
  6. Step 6: Final answer
    x = 1,242.02

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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.