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Finding the Fourth Proportional to 2,745.18, 4,116.86 and 895.80

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Solution

The fourth proportional to 2,745.18, 4,116.86 and 895.80 is: 1,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.18 : 4,116.86 = 895.80 : x
  2. Step 2: Convert to fraction form
    2,745.18/4,116.86 = 895.80/x
  3. Step 3: Cross multiply
    2,745.18x = 4,116.86 × 895.80
  4. Step 4: Simplify right side
    2,745.18x = 3,687,883.19
  5. Step 5: Solve for x
    x = 3,687,883.19/2,745.18
  6. Step 6: Final answer
    x = 1,343.40

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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.