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Finding the Fourth Proportional to 2,641.89, 3,647.52 and 1,698.12

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Solution

The fourth proportional to 2,641.89, 3,647.52 and 1,698.12 is: 2,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.89 : 3,647.52 = 1,698.12 : x
  2. Step 2: Convert to fraction form
    2,641.89/3,647.52 = 1,698.12/x
  3. Step 3: Cross multiply
    2,641.89x = 3,647.52 × 1,698.12
  4. Step 4: Simplify right side
    2,641.89x = 6,193,926.66
  5. Step 5: Solve for x
    x = 6,193,926.66/2,641.89
  6. Step 6: Final answer
    x = 2,344.51

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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.