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Finding the Fourth Proportional to 2,013.20, 3,019.80 and 715.76

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Solution

The fourth proportional to 2,013.20, 3,019.80 and 715.76 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.20 : 3,019.80 = 715.76 : x
  2. Step 2: Convert to fraction form
    2,013.20/3,019.80 = 715.76/x
  3. Step 3: Cross multiply
    2,013.20x = 3,019.80 × 715.76
  4. Step 4: Simplify right side
    2,013.20x = 2,161,452.05
  5. Step 5: Solve for x
    x = 2,161,452.05/2,013.20
  6. Step 6: Final answer
    x = 1,073.64

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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.