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Finding the Fourth Proportional to 1,828.86, 2,743.98 and 1,098.95

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Solution

The fourth proportional to 1,828.86, 2,743.98 and 1,098.95 is: 1,648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.86 : 2,743.98 = 1,098.95 : x
  2. Step 2: Convert to fraction form
    1,828.86/2,743.98 = 1,098.95/x
  3. Step 3: Cross multiply
    1,828.86x = 2,743.98 × 1,098.95
  4. Step 4: Simplify right side
    1,828.86x = 3,015,483.10
  5. Step 5: Solve for x
    x = 3,015,483.10/1,828.86
  6. Step 6: Final answer
    x = 1,648.83

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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.