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Finding the Fourth Proportional to 1,587.90, 2,390.92 and 1,490.70

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Solution

The fourth proportional to 1,587.90, 2,390.92 and 1,490.70 is: 2,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.90 : 2,390.92 = 1,490.70 : x
  2. Step 2: Convert to fraction form
    1,587.90/2,390.92 = 1,490.70/x
  3. Step 3: Cross multiply
    1,587.90x = 2,390.92 × 1,490.70
  4. Step 4: Simplify right side
    1,587.90x = 3,564,140.72
  5. Step 5: Solve for x
    x = 3,564,140.72/1,587.90
  6. Step 6: Final answer
    x = 2,244.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.