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Finding the Fourth Proportional to 2,766.60, 4,143.75 and 1,593.84

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Solution

The fourth proportional to 2,766.60, 4,143.75 and 1,593.84 is: 2,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.60 : 4,143.75 = 1,593.84 : x
  2. Step 2: Convert to fraction form
    2,766.60/4,143.75 = 1,593.84/x
  3. Step 3: Cross multiply
    2,766.60x = 4,143.75 × 1,593.84
  4. Step 4: Simplify right side
    2,766.60x = 6,604,474.50
  5. Step 5: Solve for x
    x = 6,604,474.50/2,766.60
  6. Step 6: Final answer
    x = 2,387.22

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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.