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Finding the Fourth Proportional to 7,671.60, 11,508.16 and 2,049.19

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Solution

The fourth proportional to 7,671.60, 11,508.16 and 2,049.19 is: 3,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.60 : 11,508.16 = 2,049.19 : x
  2. Step 2: Convert to fraction form
    7,671.60/11,508.16 = 2,049.19/x
  3. Step 3: Cross multiply
    7,671.60x = 11,508.16 × 2,049.19
  4. Step 4: Simplify right side
    7,671.60x = 23,582,406.39
  5. Step 5: Solve for x
    x = 23,582,406.39/7,671.60
  6. Step 6: Final answer
    x = 3,073.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.