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Finding the Fourth Proportional to 1,478.01, 2,206.05 and 1,453.71

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Solution

The fourth proportional to 1,478.01, 2,206.05 and 1,453.71 is: 2,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.01 : 2,206.05 = 1,453.71 : x
  2. Step 2: Convert to fraction form
    1,478.01/2,206.05 = 1,453.71/x
  3. Step 3: Cross multiply
    1,478.01x = 2,206.05 × 1,453.71
  4. Step 4: Simplify right side
    1,478.01x = 3,206,956.95
  5. Step 5: Solve for x
    x = 3,206,956.95/1,478.01
  6. Step 6: Final answer
    x = 2,169.78

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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.