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Finding the Fourth Proportional to 3,260.74, 4,891.14 and 1,411.86

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Solution

The fourth proportional to 3,260.74, 4,891.14 and 1,411.86 is: 2,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.74 : 4,891.14 = 1,411.86 : x
  2. Step 2: Convert to fraction form
    3,260.74/4,891.14 = 1,411.86/x
  3. Step 3: Cross multiply
    3,260.74x = 4,891.14 × 1,411.86
  4. Step 4: Simplify right side
    3,260.74x = 6,905,604.92
  5. Step 5: Solve for x
    x = 6,905,604.92/3,260.74
  6. Step 6: Final answer
    x = 2,117.80

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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.