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Finding the Fourth Proportional to 2,148.52, 2,965.52 and 1,264.61

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Solution

The fourth proportional to 2,148.52, 2,965.52 and 1,264.61 is: 1,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.52 : 2,965.52 = 1,264.61 : x
  2. Step 2: Convert to fraction form
    2,148.52/2,965.52 = 1,264.61/x
  3. Step 3: Cross multiply
    2,148.52x = 2,965.52 × 1,264.61
  4. Step 4: Simplify right side
    2,148.52x = 3,750,226.25
  5. Step 5: Solve for x
    x = 3,750,226.25/2,148.52
  6. Step 6: Final answer
    x = 1,745.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.