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Finding the Fourth Proportional to 2,543.76, 3,808.08 and 1,386

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Solution

The fourth proportional to 2,543.76, 3,808.08 and 1,386 is: 2,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.76 : 3,808.08 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,543.76/3,808.08 = 1,386/x
  3. Step 3: Cross multiply
    2,543.76x = 3,808.08 × 1,386
  4. Step 4: Simplify right side
    2,543.76x = 5,277,998.88
  5. Step 5: Solve for x
    x = 5,277,998.88/2,543.76
  6. Step 6: Final answer
    x = 2,074.88

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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.