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Finding the Fourth Proportional to 2,654.16, 3,980.89 and 706.24

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Solution

The fourth proportional to 2,654.16, 3,980.89 and 706.24 is: 1,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.16 : 3,980.89 = 706.24 : x
  2. Step 2: Convert to fraction form
    2,654.16/3,980.89 = 706.24/x
  3. Step 3: Cross multiply
    2,654.16x = 3,980.89 × 706.24
  4. Step 4: Simplify right side
    2,654.16x = 2,811,463.75
  5. Step 5: Solve for x
    x = 2,811,463.75/2,654.16
  6. Step 6: Final answer
    x = 1,059.27

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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.