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Finding the Fourth Proportional to 2,033.40, 2,806.05 and 1,149.18

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Solution

The fourth proportional to 2,033.40, 2,806.05 and 1,149.18 is: 1,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.40 : 2,806.05 = 1,149.18 : x
  2. Step 2: Convert to fraction form
    2,033.40/2,806.05 = 1,149.18/x
  3. Step 3: Cross multiply
    2,033.40x = 2,806.05 × 1,149.18
  4. Step 4: Simplify right side
    2,033.40x = 3,224,656.54
  5. Step 5: Solve for x
    x = 3,224,656.54/2,033.40
  6. Step 6: Final answer
    x = 1,585.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.