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Finding the Fourth Proportional to 2,562.86, 3,843.68 and 1,740.92

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Solution

The fourth proportional to 2,562.86, 3,843.68 and 1,740.92 is: 2,610.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.86 : 3,843.68 = 1,740.92 : x
  2. Step 2: Convert to fraction form
    2,562.86/3,843.68 = 1,740.92/x
  3. Step 3: Cross multiply
    2,562.86x = 3,843.68 × 1,740.92
  4. Step 4: Simplify right side
    2,562.86x = 6,691,511.46
  5. Step 5: Solve for x
    x = 6,691,511.46/2,562.86
  6. Step 6: Final answer
    x = 2,610.95

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1.5x scale

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.