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Finding the Fourth Proportional to 2,278.63, 3,144.51 and 1,230.69

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Solution

The fourth proportional to 2,278.63, 3,144.51 and 1,230.69 is: 1,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.63 : 3,144.51 = 1,230.69 : x
  2. Step 2: Convert to fraction form
    2,278.63/3,144.51 = 1,230.69/x
  3. Step 3: Cross multiply
    2,278.63x = 3,144.51 × 1,230.69
  4. Step 4: Simplify right side
    2,278.63x = 3,869,910.86
  5. Step 5: Solve for x
    x = 3,869,910.86/2,278.63
  6. Step 6: Final answer
    x = 1,698.35

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