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Finding the Fourth Proportional to 3,141.92, 4,713.64 and 950.52

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Solution

The fourth proportional to 3,141.92, 4,713.64 and 950.52 is: 1,426.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.92 : 4,713.64 = 950.52 : x
  2. Step 2: Convert to fraction form
    3,141.92/4,713.64 = 950.52/x
  3. Step 3: Cross multiply
    3,141.92x = 4,713.64 × 950.52
  4. Step 4: Simplify right side
    3,141.92x = 4,480,406.72
  5. Step 5: Solve for x
    x = 4,480,406.72/3,141.92
  6. Step 6: Final answer
    x = 1,426.01

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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.