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Finding the Fourth Proportional to 1,581.75, 2,373.44 and 704.52

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Solution

The fourth proportional to 1,581.75, 2,373.44 and 704.52 is: 1,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.75 : 2,373.44 = 704.52 : x
  2. Step 2: Convert to fraction form
    1,581.75/2,373.44 = 704.52/x
  3. Step 3: Cross multiply
    1,581.75x = 2,373.44 × 704.52
  4. Step 4: Simplify right side
    1,581.75x = 1,672,132.43
  5. Step 5: Solve for x
    x = 1,672,132.43/1,581.75
  6. Step 6: Final answer
    x = 1,057.14

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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.