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Finding the Fourth Proportional to 3,053.97, 4,580.92 and 745.47

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Solution

The fourth proportional to 3,053.97, 4,580.92 and 745.47 is: 1,118.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053.97 : 4,580.92 = 745.47 : x
  2. Step 2: Convert to fraction form
    3,053.97/4,580.92 = 745.47/x
  3. Step 3: Cross multiply
    3,053.97x = 4,580.92 × 745.47
  4. Step 4: Simplify right side
    3,053.97x = 3,414,939.36
  5. Step 5: Solve for x
    x = 3,414,939.36/3,053.97
  6. Step 6: Final answer
    x = 1,118.20

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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.