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Finding the Fourth Proportional to 1,340.14, 2,009.67 and 518.26

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Solution

The fourth proportional to 1,340.14, 2,009.67 and 518.26 is: 777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.14 : 2,009.67 = 518.26 : x
  2. Step 2: Convert to fraction form
    1,340.14/2,009.67 = 518.26/x
  3. Step 3: Cross multiply
    1,340.14x = 2,009.67 × 518.26
  4. Step 4: Simplify right side
    1,340.14x = 1,041,531.57
  5. Step 5: Solve for x
    x = 1,041,531.57/1,340.14
  6. Step 6: Final answer
    x = 777.18

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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.