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Finding the Fourth Proportional to 2,335.93, 3,503.55 and 775.90

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Solution

The fourth proportional to 2,335.93, 3,503.55 and 775.90 is: 1,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.93 : 3,503.55 = 775.90 : x
  2. Step 2: Convert to fraction form
    2,335.93/3,503.55 = 775.90/x
  3. Step 3: Cross multiply
    2,335.93x = 3,503.55 × 775.90
  4. Step 4: Simplify right side
    2,335.93x = 2,718,399.70
  5. Step 5: Solve for x
    x = 2,718,399.70/2,335.93
  6. Step 6: Final answer
    x = 1,163.73

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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.