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Finding the Fourth Proportional to 1,470.27, 2,191.08 and 1,425.77

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Solution

The fourth proportional to 1,470.27, 2,191.08 and 1,425.77 is: 2,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.27 : 2,191.08 = 1,425.77 : x
  2. Step 2: Convert to fraction form
    1,470.27/2,191.08 = 1,425.77/x
  3. Step 3: Cross multiply
    1,470.27x = 2,191.08 × 1,425.77
  4. Step 4: Simplify right side
    1,470.27x = 3,123,976.13
  5. Step 5: Solve for x
    x = 3,123,976.13/1,470.27
  6. Step 6: Final answer
    x = 2,124.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.