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Finding the Fourth Proportional to 2,278.02, 3,416.42 and 634.46

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Solution

The fourth proportional to 2,278.02, 3,416.42 and 634.46 is: 951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.02 : 3,416.42 = 634.46 : x
  2. Step 2: Convert to fraction form
    2,278.02/3,416.42 = 634.46/x
  3. Step 3: Cross multiply
    2,278.02x = 3,416.42 × 634.46
  4. Step 4: Simplify right side
    2,278.02x = 2,167,581.83
  5. Step 5: Solve for x
    x = 2,167,581.83/2,278.02
  6. Step 6: Final answer
    x = 951.52

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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.