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Finding the Fourth Proportional to 2,350.76, 3,526.14 and 963.86

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Solution

The fourth proportional to 2,350.76, 3,526.14 and 963.86 is: 1,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.76 : 3,526.14 = 963.86 : x
  2. Step 2: Convert to fraction form
    2,350.76/3,526.14 = 963.86/x
  3. Step 3: Cross multiply
    2,350.76x = 3,526.14 × 963.86
  4. Step 4: Simplify right side
    2,350.76x = 3,398,687.67
  5. Step 5: Solve for x
    x = 3,398,687.67/2,350.76
  6. Step 6: Final answer
    x = 1,445.79

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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.