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Finding the Fourth Proportional to 1,557.71, 2,149.82 and 885.61

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Solution

The fourth proportional to 1,557.71, 2,149.82 and 885.61 is: 1,222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.71 : 2,149.82 = 885.61 : x
  2. Step 2: Convert to fraction form
    1,557.71/2,149.82 = 885.61/x
  3. Step 3: Cross multiply
    1,557.71x = 2,149.82 × 885.61
  4. Step 4: Simplify right side
    1,557.71x = 1,903,902.09
  5. Step 5: Solve for x
    x = 1,903,902.09/1,557.71
  6. Step 6: Final answer
    x = 1,222.25

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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.