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Finding the Fourth Proportional to 2,352.49, 3,527.70 and 708.73

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Solution

The fourth proportional to 2,352.49, 3,527.70 and 708.73 is: 1,062.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.49 : 3,527.70 = 708.73 : x
  2. Step 2: Convert to fraction form
    2,352.49/3,527.70 = 708.73/x
  3. Step 3: Cross multiply
    2,352.49x = 3,527.70 × 708.73
  4. Step 4: Simplify right side
    2,352.49x = 2,500,186.82
  5. Step 5: Solve for x
    x = 2,500,186.82/2,352.49
  6. Step 6: Final answer
    x = 1,062.78

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1.5x scale

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.