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Finding the Fourth Proportional to 2,337.50, 3,501.10 and 1,932.19

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Solution

The fourth proportional to 2,337.50, 3,501.10 and 1,932.19 is: 2,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.50 : 3,501.10 = 1,932.19 : x
  2. Step 2: Convert to fraction form
    2,337.50/3,501.10 = 1,932.19/x
  3. Step 3: Cross multiply
    2,337.50x = 3,501.10 × 1,932.19
  4. Step 4: Simplify right side
    2,337.50x = 6,764,770.49
  5. Step 5: Solve for x
    x = 6,764,770.49/2,337.50
  6. Step 6: Final answer
    x = 2,894.02

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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.