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Finding the Fourth Proportional to 1,405.67, 2,118.03 and 1,167.53

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Solution

The fourth proportional to 1,405.67, 2,118.03 and 1,167.53 is: 1,759.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.67 : 2,118.03 = 1,167.53 : x
  2. Step 2: Convert to fraction form
    1,405.67/2,118.03 = 1,167.53/x
  3. Step 3: Cross multiply
    1,405.67x = 2,118.03 × 1,167.53
  4. Step 4: Simplify right side
    1,405.67x = 2,472,863.57
  5. Step 5: Solve for x
    x = 2,472,863.57/1,405.67
  6. Step 6: Final answer
    x = 1,759.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.