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Finding the Fourth Proportional to 1,380.51, 2,071.05 and 731.07

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Solution

The fourth proportional to 1,380.51, 2,071.05 and 731.07 is: 1,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.51 : 2,071.05 = 731.07 : x
  2. Step 2: Convert to fraction form
    1,380.51/2,071.05 = 731.07/x
  3. Step 3: Cross multiply
    1,380.51x = 2,071.05 × 731.07
  4. Step 4: Simplify right side
    1,380.51x = 1,514,082.52
  5. Step 5: Solve for x
    x = 1,514,082.52/1,380.51
  6. Step 6: Final answer
    x = 1,096.76

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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.