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Finding the Fourth Proportional to 2,016.92, 3,023.04 and 1,357.40

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Solution

The fourth proportional to 2,016.92, 3,023.04 and 1,357.40 is: 2,034.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.92 : 3,023.04 = 1,357.40 : x
  2. Step 2: Convert to fraction form
    2,016.92/3,023.04 = 1,357.40/x
  3. Step 3: Cross multiply
    2,016.92x = 3,023.04 × 1,357.40
  4. Step 4: Simplify right side
    2,016.92x = 4,103,474.50
  5. Step 5: Solve for x
    x = 4,103,474.50/2,016.92
  6. Step 6: Final answer
    x = 2,034.53

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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.