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Finding the Fourth Proportional to 2,343.28, 3,515.12 and 956.71

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Solution

The fourth proportional to 2,343.28, 3,515.12 and 956.71 is: 1,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.28 : 3,515.12 = 956.71 : x
  2. Step 2: Convert to fraction form
    2,343.28/3,515.12 = 956.71/x
  3. Step 3: Cross multiply
    2,343.28x = 3,515.12 × 956.71
  4. Step 4: Simplify right side
    2,343.28x = 3,362,950.46
  5. Step 5: Solve for x
    x = 3,362,950.46/2,343.28
  6. Step 6: Final answer
    x = 1,435.15

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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.