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Finding the Fourth Proportional to 1,823.80, 2,728.95 and 1,337.80

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Solution

The fourth proportional to 1,823.80, 2,728.95 and 1,337.80 is: 2,001.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.80 : 2,728.95 = 1,337.80 : x
  2. Step 2: Convert to fraction form
    1,823.80/2,728.95 = 1,337.80/x
  3. Step 3: Cross multiply
    1,823.80x = 2,728.95 × 1,337.80
  4. Step 4: Simplify right side
    1,823.80x = 3,650,789.31
  5. Step 5: Solve for x
    x = 3,650,789.31/1,823.80
  6. Step 6: Final answer
    x = 2,001.75

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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.