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Finding the Fourth Proportional to 1,876.17, 2,587.73 and 1,663.74

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Solution

The fourth proportional to 1,876.17, 2,587.73 and 1,663.74 is: 2,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.17 : 2,587.73 = 1,663.74 : x
  2. Step 2: Convert to fraction form
    1,876.17/2,587.73 = 1,663.74/x
  3. Step 3: Cross multiply
    1,876.17x = 2,587.73 × 1,663.74
  4. Step 4: Simplify right side
    1,876.17x = 4,305,309.91
  5. Step 5: Solve for x
    x = 4,305,309.91/1,876.17
  6. Step 6: Final answer
    x = 2,294.73

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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.