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Finding the Fourth Proportional to 2,132.72, 3,199.53 and 746.00

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Solution

The fourth proportional to 2,132.72, 3,199.53 and 746.00 is: 1,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.72 : 3,199.53 = 746.00 : x
  2. Step 2: Convert to fraction form
    2,132.72/3,199.53 = 746.00/x
  3. Step 3: Cross multiply
    2,132.72x = 3,199.53 × 746.00
  4. Step 4: Simplify right side
    2,132.72x = 2,386,833.38
  5. Step 5: Solve for x
    x = 2,386,833.38/2,132.72
  6. Step 6: Final answer
    x = 1,119.15

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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.