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Finding the Fourth Proportional to 1,833.96, 2,748.92 and 722.55

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Solution

The fourth proportional to 1,833.96, 2,748.92 and 722.55 is: 1,083.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.96 : 2,748.92 = 722.55 : x
  2. Step 2: Convert to fraction form
    1,833.96/2,748.92 = 722.55/x
  3. Step 3: Cross multiply
    1,833.96x = 2,748.92 × 722.55
  4. Step 4: Simplify right side
    1,833.96x = 1,986,228.53
  5. Step 5: Solve for x
    x = 1,986,228.53/1,833.96
  6. Step 6: Final answer
    x = 1,083.03

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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.