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Finding the Fourth Proportional to 2,009.43, 3,013.65 and 968.76

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Solution

The fourth proportional to 2,009.43, 3,013.65 and 968.76 is: 1,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.43 : 3,013.65 = 968.76 : x
  2. Step 2: Convert to fraction form
    2,009.43/3,013.65 = 968.76/x
  3. Step 3: Cross multiply
    2,009.43x = 3,013.65 × 968.76
  4. Step 4: Simplify right side
    2,009.43x = 2,919,503.57
  5. Step 5: Solve for x
    x = 2,919,503.57/2,009.43
  6. Step 6: Final answer
    x = 1,452.90

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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.