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Finding the Fourth Proportional to 2,959.77, 4,438.24 and 1,398.47

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Solution

The fourth proportional to 2,959.77, 4,438.24 and 1,398.47 is: 2,097.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.77 : 4,438.24 = 1,398.47 : x
  2. Step 2: Convert to fraction form
    2,959.77/4,438.24 = 1,398.47/x
  3. Step 3: Cross multiply
    2,959.77x = 4,438.24 × 1,398.47
  4. Step 4: Simplify right side
    2,959.77x = 6,206,745.49
  5. Step 5: Solve for x
    x = 6,206,745.49/2,959.77
  6. Step 6: Final answer
    x = 2,097.04

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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.