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Finding the Fourth Proportional to 2,704.17, 4,057.35 and 972.93

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Solution

The fourth proportional to 2,704.17, 4,057.35 and 972.93 is: 1,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.17 : 4,057.35 = 972.93 : x
  2. Step 2: Convert to fraction form
    2,704.17/4,057.35 = 972.93/x
  3. Step 3: Cross multiply
    2,704.17x = 4,057.35 × 972.93
  4. Step 4: Simplify right side
    2,704.17x = 3,947,517.54
  5. Step 5: Solve for x
    x = 3,947,517.54/2,704.17
  6. Step 6: Final answer
    x = 1,459.79

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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.