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Finding the Fourth Proportional to 2,188.68, 3,283.11 and 727.98

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Solution

The fourth proportional to 2,188.68, 3,283.11 and 727.98 is: 1,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.68 : 3,283.11 = 727.98 : x
  2. Step 2: Convert to fraction form
    2,188.68/3,283.11 = 727.98/x
  3. Step 3: Cross multiply
    2,188.68x = 3,283.11 × 727.98
  4. Step 4: Simplify right side
    2,188.68x = 2,390,038.42
  5. Step 5: Solve for x
    x = 2,390,038.42/2,188.68
  6. Step 6: Final answer
    x = 1,092.00

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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.