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Finding the Fourth Proportional to 3,079.50, 4,614.12 and 2,038.11

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Solution

The fourth proportional to 3,079.50, 4,614.12 and 2,038.11 is: 3,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.50 : 4,614.12 = 2,038.11 : x
  2. Step 2: Convert to fraction form
    3,079.50/4,614.12 = 2,038.11/x
  3. Step 3: Cross multiply
    3,079.50x = 4,614.12 × 2,038.11
  4. Step 4: Simplify right side
    3,079.50x = 9,404,084.11
  5. Step 5: Solve for x
    x = 9,404,084.11/3,079.50
  6. Step 6: Final answer
    x = 3,053.77

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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.