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Finding the Fourth Proportional to 2,278.24, 3,417.64 and 978.96

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Solution

The fourth proportional to 2,278.24, 3,417.64 and 978.96 is: 1,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.24 : 3,417.64 = 978.96 : x
  2. Step 2: Convert to fraction form
    2,278.24/3,417.64 = 978.96/x
  3. Step 3: Cross multiply
    2,278.24x = 3,417.64 × 978.96
  4. Step 4: Simplify right side
    2,278.24x = 3,345,732.85
  5. Step 5: Solve for x
    x = 3,345,732.85/2,278.24
  6. Step 6: Final answer
    x = 1,468.56

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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.