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Finding the Fourth Proportional to 2,182.68, 3,271.80 and 1,863

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Solution

The fourth proportional to 2,182.68, 3,271.80 and 1,863 is: 2,792.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.68 : 3,271.80 = 1,863 : x
  2. Step 2: Convert to fraction form
    2,182.68/3,271.80 = 1,863/x
  3. Step 3: Cross multiply
    2,182.68x = 3,271.80 × 1,863
  4. Step 4: Simplify right side
    2,182.68x = 6,095,363.40
  5. Step 5: Solve for x
    x = 6,095,363.40/2,182.68
  6. Step 6: Final answer
    x = 2,792.61

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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.