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Finding the Fourth Proportional to 1,587.75, 2,377.89 and 938.94

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Solution

The fourth proportional to 1,587.75, 2,377.89 and 938.94 is: 1,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.75 : 2,377.89 = 938.94 : x
  2. Step 2: Convert to fraction form
    1,587.75/2,377.89 = 938.94/x
  3. Step 3: Cross multiply
    1,587.75x = 2,377.89 × 938.94
  4. Step 4: Simplify right side
    1,587.75x = 2,232,696.04
  5. Step 5: Solve for x
    x = 2,232,696.04/1,587.75
  6. Step 6: Final answer
    x = 1,406.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.