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Finding the Fourth Proportional to 2,508.95, 3,752.49 and 1,466.48

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Solution

The fourth proportional to 2,508.95, 3,752.49 and 1,466.48 is: 2,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.95 : 3,752.49 = 1,466.48 : x
  2. Step 2: Convert to fraction form
    2,508.95/3,752.49 = 1,466.48/x
  3. Step 3: Cross multiply
    2,508.95x = 3,752.49 × 1,466.48
  4. Step 4: Simplify right side
    2,508.95x = 5,502,951.54
  5. Step 5: Solve for x
    x = 5,502,951.54/2,508.95
  6. Step 6: Final answer
    x = 2,193.33

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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.