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Finding the Fourth Proportional to 2,153.93, 3,230.92 and 1,179.50

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Solution

The fourth proportional to 2,153.93, 3,230.92 and 1,179.50 is: 1,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.93 : 3,230.92 = 1,179.50 : x
  2. Step 2: Convert to fraction form
    2,153.93/3,230.92 = 1,179.50/x
  3. Step 3: Cross multiply
    2,153.93x = 3,230.92 × 1,179.50
  4. Step 4: Simplify right side
    2,153.93x = 3,810,877.74
  5. Step 5: Solve for x
    x = 3,810,877.74/2,153.93
  6. Step 6: Final answer
    x = 1,769.26

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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.