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Finding the Fourth Proportional to 2,931.53, 4,397.63 and 956.48

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Solution

The fourth proportional to 2,931.53, 4,397.63 and 956.48 is: 1,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.53 : 4,397.63 = 956.48 : x
  2. Step 2: Convert to fraction form
    2,931.53/4,397.63 = 956.48/x
  3. Step 3: Cross multiply
    2,931.53x = 4,397.63 × 956.48
  4. Step 4: Simplify right side
    2,931.53x = 4,206,218.37
  5. Step 5: Solve for x
    x = 4,206,218.37/2,931.53
  6. Step 6: Final answer
    x = 1,434.82

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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.