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Finding the Fourth Proportional to 1,775.20, 2,449.78 and 978.51

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Solution

The fourth proportional to 1,775.20, 2,449.78 and 978.51 is: 1,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.20 : 2,449.78 = 978.51 : x
  2. Step 2: Convert to fraction form
    1,775.20/2,449.78 = 978.51/x
  3. Step 3: Cross multiply
    1,775.20x = 2,449.78 × 978.51
  4. Step 4: Simplify right side
    1,775.20x = 2,397,120.30
  5. Step 5: Solve for x
    x = 2,397,120.30/1,775.20
  6. Step 6: Final answer
    x = 1,350.34

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Why These Related Problems?

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