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Finding the Fourth Proportional to 3,257.27, 4,888.49 and 1,697.72

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Solution

The fourth proportional to 3,257.27, 4,888.49 and 1,697.72 is: 2,547.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.27 : 4,888.49 = 1,697.72 : x
  2. Step 2: Convert to fraction form
    3,257.27/4,888.49 = 1,697.72/x
  3. Step 3: Cross multiply
    3,257.27x = 4,888.49 × 1,697.72
  4. Step 4: Simplify right side
    3,257.27x = 8,299,278.75
  5. Step 5: Solve for x
    x = 8,299,278.75/3,257.27
  6. Step 6: Final answer
    x = 2,547.92

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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.