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Finding the Fourth Proportional to 2,745.74, 4,113.75 and 2,280.80

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Solution

The fourth proportional to 2,745.74, 4,113.75 and 2,280.80 is: 3,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.74 : 4,113.75 = 2,280.80 : x
  2. Step 2: Convert to fraction form
    2,745.74/4,113.75 = 2,280.80/x
  3. Step 3: Cross multiply
    2,745.74x = 4,113.75 × 2,280.80
  4. Step 4: Simplify right side
    2,745.74x = 9,382,641
  5. Step 5: Solve for x
    x = 9,382,641/2,745.74
  6. Step 6: Final answer
    x = 3,417.16

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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.