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Finding the Fourth Proportional to 1,470.28, 2,205.41 and 374.64

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Solution

The fourth proportional to 1,470.28, 2,205.41 and 374.64 is: 561.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.28 : 2,205.41 = 374.64 : x
  2. Step 2: Convert to fraction form
    1,470.28/2,205.41 = 374.64/x
  3. Step 3: Cross multiply
    1,470.28x = 2,205.41 × 374.64
  4. Step 4: Simplify right side
    1,470.28x = 826,221.90
  5. Step 5: Solve for x
    x = 826,221.90/1,470.28
  6. Step 6: Final answer
    x = 561.95

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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.