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Finding the Fourth Proportional to 3,199, 4,409.86 and 2,251.70

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Solution

The fourth proportional to 3,199, 4,409.86 and 2,251.70 is: 3,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199 : 4,409.86 = 2,251.70 : x
  2. Step 2: Convert to fraction form
    3,199/4,409.86 = 2,251.70/x
  3. Step 3: Cross multiply
    3,199x = 4,409.86 × 2,251.70
  4. Step 4: Simplify right side
    3,199x = 9,929,681.76
  5. Step 5: Solve for x
    x = 9,929,681.76/3,199
  6. Step 6: Final answer
    x = 3,104.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.