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Finding the Fourth Proportional to 2,451.76, 3,677.28 and 808

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Solution

The fourth proportional to 2,451.76, 3,677.28 and 808 is: 1,211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.76 : 3,677.28 = 808 : x
  2. Step 2: Convert to fraction form
    2,451.76/3,677.28 = 808/x
  3. Step 3: Cross multiply
    2,451.76x = 3,677.28 × 808
  4. Step 4: Simplify right side
    2,451.76x = 2,971,242.24
  5. Step 5: Solve for x
    x = 2,971,242.24/2,451.76
  6. Step 6: Final answer
    x = 1,211.88

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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.