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Finding the Fourth Proportional to 2,934.50, 4,401.20 and 1,543.46

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Solution

The fourth proportional to 2,934.50, 4,401.20 and 1,543.46 is: 2,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.50 : 4,401.20 = 1,543.46 : x
  2. Step 2: Convert to fraction form
    2,934.50/4,401.20 = 1,543.46/x
  3. Step 3: Cross multiply
    2,934.50x = 4,401.20 × 1,543.46
  4. Step 4: Simplify right side
    2,934.50x = 6,793,058.00
  5. Step 5: Solve for x
    x = 6,793,058.00/2,934.50
  6. Step 6: Final answer
    x = 2,314.90

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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.