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Finding the Fourth Proportional to 1,956.52, 2,934.72 and 723.43

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Solution

The fourth proportional to 1,956.52, 2,934.72 and 723.43 is: 1,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.52 : 2,934.72 = 723.43 : x
  2. Step 2: Convert to fraction form
    1,956.52/2,934.72 = 723.43/x
  3. Step 3: Cross multiply
    1,956.52x = 2,934.72 × 723.43
  4. Step 4: Simplify right side
    1,956.52x = 2,123,064.49
  5. Step 5: Solve for x
    x = 2,123,064.49/1,956.52
  6. Step 6: Final answer
    x = 1,085.12

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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.