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Finding the Fourth Proportional to 2,512.16, 3,765 and 1,278.52

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Solution

The fourth proportional to 2,512.16, 3,765 and 1,278.52 is: 1,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.16 : 3,765 = 1,278.52 : x
  2. Step 2: Convert to fraction form
    2,512.16/3,765 = 1,278.52/x
  3. Step 3: Cross multiply
    2,512.16x = 3,765 × 1,278.52
  4. Step 4: Simplify right side
    2,512.16x = 4,813,627.80
  5. Step 5: Solve for x
    x = 4,813,627.80/2,512.16
  6. Step 6: Final answer
    x = 1,916.13

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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.