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Finding the Fourth Proportional to 2,414.52, 3,333.15 and 1,977.12

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Solution

The fourth proportional to 2,414.52, 3,333.15 and 1,977.12 is: 2,729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.52 : 3,333.15 = 1,977.12 : x
  2. Step 2: Convert to fraction form
    2,414.52/3,333.15 = 1,977.12/x
  3. Step 3: Cross multiply
    2,414.52x = 3,333.15 × 1,977.12
  4. Step 4: Simplify right side
    2,414.52x = 6,590,037.53
  5. Step 5: Solve for x
    x = 6,590,037.53/2,414.52
  6. Step 6: Final answer
    x = 2,729.34

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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.