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Finding the Fourth Proportional to 2,671.73, 4,007.83 and 1,560.47

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Solution

The fourth proportional to 2,671.73, 4,007.83 and 1,560.47 is: 2,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.73 : 4,007.83 = 1,560.47 : x
  2. Step 2: Convert to fraction form
    2,671.73/4,007.83 = 1,560.47/x
  3. Step 3: Cross multiply
    2,671.73x = 4,007.83 × 1,560.47
  4. Step 4: Simplify right side
    2,671.73x = 6,254,098.48
  5. Step 5: Solve for x
    x = 6,254,098.48/2,671.73
  6. Step 6: Final answer
    x = 2,340.84

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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.