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Finding the Fourth Proportional to 2,896.64, 4,345.68 and 1,337.74

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Solution

The fourth proportional to 2,896.64, 4,345.68 and 1,337.74 is: 2,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.64 : 4,345.68 = 1,337.74 : x
  2. Step 2: Convert to fraction form
    2,896.64/4,345.68 = 1,337.74/x
  3. Step 3: Cross multiply
    2,896.64x = 4,345.68 × 1,337.74
  4. Step 4: Simplify right side
    2,896.64x = 5,813,405.15
  5. Step 5: Solve for x
    x = 5,813,405.15/2,896.64
  6. Step 6: Final answer
    x = 2,006.95

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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.