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Finding the Fourth Proportional to 2,154.71, 3,232.40 and 1,099.95

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Solution

The fourth proportional to 2,154.71, 3,232.40 and 1,099.95 is: 1,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.71 : 3,232.40 = 1,099.95 : x
  2. Step 2: Convert to fraction form
    2,154.71/3,232.40 = 1,099.95/x
  3. Step 3: Cross multiply
    2,154.71x = 3,232.40 × 1,099.95
  4. Step 4: Simplify right side
    2,154.71x = 3,555,475.63
  5. Step 5: Solve for x
    x = 3,555,475.63/2,154.71
  6. Step 6: Final answer
    x = 1,650.09

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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.