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Finding the Fourth Proportional to 1,500.72, 2,231.04 and 1,397.04

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Solution

The fourth proportional to 1,500.72, 2,231.04 and 1,397.04 is: 2,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.72 : 2,231.04 = 1,397.04 : x
  2. Step 2: Convert to fraction form
    1,500.72/2,231.04 = 1,397.04/x
  3. Step 3: Cross multiply
    1,500.72x = 2,231.04 × 1,397.04
  4. Step 4: Simplify right side
    1,500.72x = 3,116,852.12
  5. Step 5: Solve for x
    x = 3,116,852.12/1,500.72
  6. Step 6: Final answer
    x = 2,076.90

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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.