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Finding the Fourth Proportional to 1,309.32, 1,794.67 and 1,291.10

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Solution

The fourth proportional to 1,309.32, 1,794.67 and 1,291.10 is: 1,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.32 : 1,794.67 = 1,291.10 : x
  2. Step 2: Convert to fraction form
    1,309.32/1,794.67 = 1,291.10/x
  3. Step 3: Cross multiply
    1,309.32x = 1,794.67 × 1,291.10
  4. Step 4: Simplify right side
    1,309.32x = 2,317,086.24
  5. Step 5: Solve for x
    x = 2,317,086.24/1,309.32
  6. Step 6: Final answer
    x = 1,769.69

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.