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Finding the Fourth Proportional to 2,972.27, 4,458.06 and 751.10

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Solution

The fourth proportional to 2,972.27, 4,458.06 and 751.10 is: 1,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.27 : 4,458.06 = 751.10 : x
  2. Step 2: Convert to fraction form
    2,972.27/4,458.06 = 751.10/x
  3. Step 3: Cross multiply
    2,972.27x = 4,458.06 × 751.10
  4. Step 4: Simplify right side
    2,972.27x = 3,348,426.58
  5. Step 5: Solve for x
    x = 3,348,426.58/2,972.27
  6. Step 6: Final answer
    x = 1,126.56

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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.