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Finding the Fourth Proportional to 3,155.68, 4,733.52 and 1,999

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Solution

The fourth proportional to 3,155.68, 4,733.52 and 1,999 is: 2,998.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.68 : 4,733.52 = 1,999 : x
  2. Step 2: Convert to fraction form
    3,155.68/4,733.52 = 1,999/x
  3. Step 3: Cross multiply
    3,155.68x = 4,733.52 × 1,999
  4. Step 4: Simplify right side
    3,155.68x = 9,462,306.48
  5. Step 5: Solve for x
    x = 9,462,306.48/3,155.68
  6. Step 6: Final answer
    x = 2,998.50

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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.