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Finding the Fourth Proportional to 1,587.80, 2,191.17 and 889.18

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Solution

The fourth proportional to 1,587.80, 2,191.17 and 889.18 is: 1,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.80 : 2,191.17 = 889.18 : x
  2. Step 2: Convert to fraction form
    1,587.80/2,191.17 = 889.18/x
  3. Step 3: Cross multiply
    1,587.80x = 2,191.17 × 889.18
  4. Step 4: Simplify right side
    1,587.80x = 1,948,345.14
  5. Step 5: Solve for x
    x = 1,948,345.14/1,587.80
  6. Step 6: Final answer
    x = 1,227.07

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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.