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Finding the Fourth Proportional to 2,801.93, 4,199.29 and 1,159.61

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Solution

The fourth proportional to 2,801.93, 4,199.29 and 1,159.61 is: 1,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.93 : 4,199.29 = 1,159.61 : x
  2. Step 2: Convert to fraction form
    2,801.93/4,199.29 = 1,159.61/x
  3. Step 3: Cross multiply
    2,801.93x = 4,199.29 × 1,159.61
  4. Step 4: Simplify right side
    2,801.93x = 4,869,514.78
  5. Step 5: Solve for x
    x = 4,869,514.78/2,801.93
  6. Step 6: Final answer
    x = 1,737.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.