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Finding the Fourth Proportional to 2,024.35, 3,036.53 and 726.73

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Solution

The fourth proportional to 2,024.35, 3,036.53 and 726.73 is: 1,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.35 : 3,036.53 = 726.73 : x
  2. Step 2: Convert to fraction form
    2,024.35/3,036.53 = 726.73/x
  3. Step 3: Cross multiply
    2,024.35x = 3,036.53 × 726.73
  4. Step 4: Simplify right side
    2,024.35x = 2,206,737.45
  5. Step 5: Solve for x
    x = 2,206,737.45/2,024.35
  6. Step 6: Final answer
    x = 1,090.10

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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.