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Finding the Fourth Proportional to 2,278.05, 3,417.71 and 979.17

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Solution

The fourth proportional to 2,278.05, 3,417.71 and 979.17 is: 1,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.05 : 3,417.71 = 979.17 : x
  2. Step 2: Convert to fraction form
    2,278.05/3,417.71 = 979.17/x
  3. Step 3: Cross multiply
    2,278.05x = 3,417.71 × 979.17
  4. Step 4: Simplify right side
    2,278.05x = 3,346,514.20
  5. Step 5: Solve for x
    x = 3,346,514.20/2,278.05
  6. Step 6: Final answer
    x = 1,469.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.