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Finding the Fourth Proportional to 2,486.96, 3,432.04 and 1,382.96

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Solution

The fourth proportional to 2,486.96, 3,432.04 and 1,382.96 is: 1,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.96 : 3,432.04 = 1,382.96 : x
  2. Step 2: Convert to fraction form
    2,486.96/3,432.04 = 1,382.96/x
  3. Step 3: Cross multiply
    2,486.96x = 3,432.04 × 1,382.96
  4. Step 4: Simplify right side
    2,486.96x = 4,746,374.04
  5. Step 5: Solve for x
    x = 4,746,374.04/2,486.96
  6. Step 6: Final answer
    x = 1,908.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.