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Finding the Fourth Proportional to 2,654.48, 3,981.45 and 706.88

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Solution

The fourth proportional to 2,654.48, 3,981.45 and 706.88 is: 1,060.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.48 : 3,981.45 = 706.88 : x
  2. Step 2: Convert to fraction form
    2,654.48/3,981.45 = 706.88/x
  3. Step 3: Cross multiply
    2,654.48x = 3,981.45 × 706.88
  4. Step 4: Simplify right side
    2,654.48x = 2,814,407.38
  5. Step 5: Solve for x
    x = 2,814,407.38/2,654.48
  6. Step 6: Final answer
    x = 1,060.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.