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Finding the Fourth Proportional to 1,353.05, 2,034.21 and 1,251.60

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Solution

The fourth proportional to 1,353.05, 2,034.21 and 1,251.60 is: 1,881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.05 : 2,034.21 = 1,251.60 : x
  2. Step 2: Convert to fraction form
    1,353.05/2,034.21 = 1,251.60/x
  3. Step 3: Cross multiply
    1,353.05x = 2,034.21 × 1,251.60
  4. Step 4: Simplify right side
    1,353.05x = 2,546,025.74
  5. Step 5: Solve for x
    x = 2,546,025.74/1,353.05
  6. Step 6: Final answer
    x = 1,881.69

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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.