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Finding the Fourth Proportional to 2,023.70, 3,036.35 and 725.27

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Solution

The fourth proportional to 2,023.70, 3,036.35 and 725.27 is: 1,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.70 : 3,036.35 = 725.27 : x
  2. Step 2: Convert to fraction form
    2,023.70/3,036.35 = 725.27/x
  3. Step 3: Cross multiply
    2,023.70x = 3,036.35 × 725.27
  4. Step 4: Simplify right side
    2,023.70x = 2,202,160.20
  5. Step 5: Solve for x
    x = 2,202,160.20/2,023.70
  6. Step 6: Final answer
    x = 1,088.19

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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.