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Finding the Fourth Proportional to 2,024.73, 3,038.54 and 726.39

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Solution

The fourth proportional to 2,024.73, 3,038.54 and 726.39 is: 1,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.73 : 3,038.54 = 726.39 : x
  2. Step 2: Convert to fraction form
    2,024.73/3,038.54 = 726.39/x
  3. Step 3: Cross multiply
    2,024.73x = 3,038.54 × 726.39
  4. Step 4: Simplify right side
    2,024.73x = 2,207,161.44
  5. Step 5: Solve for x
    x = 2,207,161.44/2,024.73
  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.