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Finding the Fourth Proportional to 2,746.85, 3,791.37 and 1,698.32

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Solution

The fourth proportional to 2,746.85, 3,791.37 and 1,698.32 is: 2,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.85 : 3,791.37 = 1,698.32 : x
  2. Step 2: Convert to fraction form
    2,746.85/3,791.37 = 1,698.32/x
  3. Step 3: Cross multiply
    2,746.85x = 3,791.37 × 1,698.32
  4. Step 4: Simplify right side
    2,746.85x = 6,438,959.50
  5. Step 5: Solve for x
    x = 6,438,959.50/2,746.85
  6. Step 6: Final answer
    x = 2,344.12

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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.