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Finding the Fourth Proportional to 2,677.57, 3,696.66 and 1,747.69

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Solution

The fourth proportional to 2,677.57, 3,696.66 and 1,747.69 is: 2,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.57 : 3,696.66 = 1,747.69 : x
  2. Step 2: Convert to fraction form
    2,677.57/3,696.66 = 1,747.69/x
  3. Step 3: Cross multiply
    2,677.57x = 3,696.66 × 1,747.69
  4. Step 4: Simplify right side
    2,677.57x = 6,460,615.72
  5. Step 5: Solve for x
    x = 6,460,615.72/2,677.57
  6. Step 6: Final answer
    x = 2,412.87

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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.