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Finding the Fourth Proportional to 1,931.45, 2,891.50 and 1,470.96

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Solution

The fourth proportional to 1,931.45, 2,891.50 and 1,470.96 is: 2,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931.45 : 2,891.50 = 1,470.96 : x
  2. Step 2: Convert to fraction form
    1,931.45/2,891.50 = 1,470.96/x
  3. Step 3: Cross multiply
    1,931.45x = 2,891.50 × 1,470.96
  4. Step 4: Simplify right side
    1,931.45x = 4,253,277.16
  5. Step 5: Solve for x
    x = 4,253,277.16/1,931.45
  6. Step 6: Final answer
    x = 2,202.12

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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.