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Finding the Fourth Proportional to 1,654.59, 2,279.43 and 1,156.35

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Solution

The fourth proportional to 1,654.59, 2,279.43 and 1,156.35 is: 1,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.59 : 2,279.43 = 1,156.35 : x
  2. Step 2: Convert to fraction form
    1,654.59/2,279.43 = 1,156.35/x
  3. Step 3: Cross multiply
    1,654.59x = 2,279.43 × 1,156.35
  4. Step 4: Simplify right side
    1,654.59x = 2,635,818.88
  5. Step 5: Solve for x
    x = 2,635,818.88/1,654.59
  6. Step 6: Final answer
    x = 1,593.03

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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.