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Finding the Fourth Proportional to 1,629.32, 2,442.15 and 980.51

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Solution

The fourth proportional to 1,629.32, 2,442.15 and 980.51 is: 1,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.32 : 2,442.15 = 980.51 : x
  2. Step 2: Convert to fraction form
    1,629.32/2,442.15 = 980.51/x
  3. Step 3: Cross multiply
    1,629.32x = 2,442.15 × 980.51
  4. Step 4: Simplify right side
    1,629.32x = 2,394,540.29
  5. Step 5: Solve for x
    x = 2,394,540.29/1,629.32
  6. Step 6: Final answer
    x = 1,469.66

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1.5x scale

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.