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Finding the Fourth Proportional to 2,011.68, 3,016.71 and 1,073.70

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Solution

The fourth proportional to 2,011.68, 3,016.71 and 1,073.70 is: 1,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.68 : 3,016.71 = 1,073.70 : x
  2. Step 2: Convert to fraction form
    2,011.68/3,016.71 = 1,073.70/x
  3. Step 3: Cross multiply
    2,011.68x = 3,016.71 × 1,073.70
  4. Step 4: Simplify right side
    2,011.68x = 3,239,041.53
  5. Step 5: Solve for x
    x = 3,239,041.53/2,011.68
  6. Step 6: Final answer
    x = 1,610.12

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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.