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Finding the Fourth Proportional to 1,353.96, 2,017.62 and 1,309.86

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Solution

The fourth proportional to 1,353.96, 2,017.62 and 1,309.86 is: 1,951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.96 : 2,017.62 = 1,309.86 : x
  2. Step 2: Convert to fraction form
    1,353.96/2,017.62 = 1,309.86/x
  3. Step 3: Cross multiply
    1,353.96x = 2,017.62 × 1,309.86
  4. Step 4: Simplify right side
    1,353.96x = 2,642,799.73
  5. Step 5: Solve for x
    x = 2,642,799.73/1,353.96
  6. Step 6: Final answer
    x = 1,951.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.