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Finding the Fourth Proportional to 2,527.28, 3,770.19 and 2,350.52

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Solution

The fourth proportional to 2,527.28, 3,770.19 and 2,350.52 is: 3,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.28 : 3,770.19 = 2,350.52 : x
  2. Step 2: Convert to fraction form
    2,527.28/3,770.19 = 2,350.52/x
  3. Step 3: Cross multiply
    2,527.28x = 3,770.19 × 2,350.52
  4. Step 4: Simplify right side
    2,527.28x = 8,861,907.00
  5. Step 5: Solve for x
    x = 8,861,907.00/2,527.28
  6. Step 6: Final answer
    x = 3,506.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.