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Finding the Fourth Proportional to 2,351.83, 3,527.88 and 708.34

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Solution

The fourth proportional to 2,351.83, 3,527.88 and 708.34 is: 1,062.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.83 : 3,527.88 = 708.34 : x
  2. Step 2: Convert to fraction form
    2,351.83/3,527.88 = 708.34/x
  3. Step 3: Cross multiply
    2,351.83x = 3,527.88 × 708.34
  4. Step 4: Simplify right side
    2,351.83x = 2,498,938.52
  5. Step 5: Solve for x
    x = 2,498,938.52/2,351.83
  6. Step 6: Final answer
    x = 1,062.55

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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.