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Finding the Fourth Proportional to 1,587.23, 2,190.17 and 878.97

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Solution

The fourth proportional to 1,587.23, 2,190.17 and 878.97 is: 1,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.23 : 2,190.17 = 878.97 : x
  2. Step 2: Convert to fraction form
    1,587.23/2,190.17 = 878.97/x
  3. Step 3: Cross multiply
    1,587.23x = 2,190.17 × 878.97
  4. Step 4: Simplify right side
    1,587.23x = 1,925,095.92
  5. Step 5: Solve for x
    x = 1,925,095.92/1,587.23
  6. Step 6: Final answer
    x = 1,212.87

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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.