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Finding the Fourth Proportional to 2,781.76, 3,839.04 and 1,677.76

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Solution

The fourth proportional to 2,781.76, 3,839.04 and 1,677.76 is: 2,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.76 : 3,839.04 = 1,677.76 : x
  2. Step 2: Convert to fraction form
    2,781.76/3,839.04 = 1,677.76/x
  3. Step 3: Cross multiply
    2,781.76x = 3,839.04 × 1,677.76
  4. Step 4: Simplify right side
    2,781.76x = 6,440,987.75
  5. Step 5: Solve for x
    x = 6,440,987.75/2,781.76
  6. Step 6: Final answer
    x = 2,315.44

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1.5x scale

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.