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Finding the Fourth Proportional to 3,363.60, 5,041.80 and 1,514.40

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Solution

The fourth proportional to 3,363.60, 5,041.80 and 1,514.40 is: 2,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.60 : 5,041.80 = 1,514.40 : x
  2. Step 2: Convert to fraction form
    3,363.60/5,041.80 = 1,514.40/x
  3. Step 3: Cross multiply
    3,363.60x = 5,041.80 × 1,514.40
  4. Step 4: Simplify right side
    3,363.60x = 7,635,301.92
  5. Step 5: Solve for x
    x = 7,635,301.92/3,363.60
  6. Step 6: Final answer
    x = 2,269.98

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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.