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Finding the Fourth Proportional to 1,447.27, 2,170.90 and 407.36

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Solution

The fourth proportional to 1,447.27, 2,170.90 and 407.36 is: 611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.27 : 2,170.90 = 407.36 : x
  2. Step 2: Convert to fraction form
    1,447.27/2,170.90 = 407.36/x
  3. Step 3: Cross multiply
    1,447.27x = 2,170.90 × 407.36
  4. Step 4: Simplify right side
    1,447.27x = 884,343.76
  5. Step 5: Solve for x
    x = 884,343.76/1,447.27
  6. Step 6: Final answer
    x = 611.04

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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.