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Finding the Fourth Proportional to 2,142.68, 3,214.14 and 989.24

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Solution

The fourth proportional to 2,142.68, 3,214.14 and 989.24 is: 1,483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.68 : 3,214.14 = 989.24 : x
  2. Step 2: Convert to fraction form
    2,142.68/3,214.14 = 989.24/x
  3. Step 3: Cross multiply
    2,142.68x = 3,214.14 × 989.24
  4. Step 4: Simplify right side
    2,142.68x = 3,179,555.85
  5. Step 5: Solve for x
    x = 3,179,555.85/2,142.68
  6. Step 6: Final answer
    x = 1,483.92

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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.