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Finding the Fourth Proportional to 2,708.64, 4,062.60 and 761.04

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Solution

The fourth proportional to 2,708.64, 4,062.60 and 761.04 is: 1,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.64 : 4,062.60 = 761.04 : x
  2. Step 2: Convert to fraction form
    2,708.64/4,062.60 = 761.04/x
  3. Step 3: Cross multiply
    2,708.64x = 4,062.60 × 761.04
  4. Step 4: Simplify right side
    2,708.64x = 3,091,801.10
  5. Step 5: Solve for x
    x = 3,091,801.10/2,708.64
  6. Step 6: Final answer
    x = 1,141.46

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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.