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Finding the Fourth Proportional to 2,746.16, 3,791 and 1,751.60

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Solution

The fourth proportional to 2,746.16, 3,791 and 1,751.60 is: 2,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.16 : 3,791 = 1,751.60 : x
  2. Step 2: Convert to fraction form
    2,746.16/3,791 = 1,751.60/x
  3. Step 3: Cross multiply
    2,746.16x = 3,791 × 1,751.60
  4. Step 4: Simplify right side
    2,746.16x = 6,640,315.60
  5. Step 5: Solve for x
    x = 6,640,315.60/2,746.16
  6. Step 6: Final answer
    x = 2,418.04

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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.