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Finding the Fourth Proportional to 2,154.71, 3,232.39 and 1,059.15

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Solution

The fourth proportional to 2,154.71, 3,232.39 and 1,059.15 is: 1,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.71 : 3,232.39 = 1,059.15 : x
  2. Step 2: Convert to fraction form
    2,154.71/3,232.39 = 1,059.15/x
  3. Step 3: Cross multiply
    2,154.71x = 3,232.39 × 1,059.15
  4. Step 4: Simplify right side
    2,154.71x = 3,423,583.22
  5. Step 5: Solve for x
    x = 3,423,583.22/2,154.71
  6. Step 6: Final answer
    x = 1,588.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.