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Finding the Fourth Proportional to 2,508.94, 3,761.60 and 948.82

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Solution

The fourth proportional to 2,508.94, 3,761.60 and 948.82 is: 1,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.94 : 3,761.60 = 948.82 : x
  2. Step 2: Convert to fraction form
    2,508.94/3,761.60 = 948.82/x
  3. Step 3: Cross multiply
    2,508.94x = 3,761.60 × 948.82
  4. Step 4: Simplify right side
    2,508.94x = 3,569,081.31
  5. Step 5: Solve for x
    x = 3,569,081.31/2,508.94
  6. Step 6: Final answer
    x = 1,422.55

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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.