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Finding the Fourth Proportional to 1,838.55, 2,759.18 and 1,146.23

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Solution

The fourth proportional to 1,838.55, 2,759.18 and 1,146.23 is: 1,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.55 : 2,759.18 = 1,146.23 : x
  2. Step 2: Convert to fraction form
    1,838.55/2,759.18 = 1,146.23/x
  3. Step 3: Cross multiply
    1,838.55x = 2,759.18 × 1,146.23
  4. Step 4: Simplify right side
    1,838.55x = 3,162,635.36
  5. Step 5: Solve for x
    x = 3,162,635.36/1,838.55
  6. Step 6: Final answer
    x = 1,720.18

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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.