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Finding the Fourth Proportional to 2,711.08, 4,071.42 and 2,017.96

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Solution

The fourth proportional to 2,711.08, 4,071.42 and 2,017.96 is: 3,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.08 : 4,071.42 = 2,017.96 : x
  2. Step 2: Convert to fraction form
    2,711.08/4,071.42 = 2,017.96/x
  3. Step 3: Cross multiply
    2,711.08x = 4,071.42 × 2,017.96
  4. Step 4: Simplify right side
    2,711.08x = 8,215,962.70
  5. Step 5: Solve for x
    x = 8,215,962.70/2,711.08
  6. Step 6: Final answer
    x = 3,030.51

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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.