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Finding the Fourth Proportional to 2,613.66, 3,916.17 and 1,637.34

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Solution

The fourth proportional to 2,613.66, 3,916.17 and 1,637.34 is: 2,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.66 : 3,916.17 = 1,637.34 : x
  2. Step 2: Convert to fraction form
    2,613.66/3,916.17 = 1,637.34/x
  3. Step 3: Cross multiply
    2,613.66x = 3,916.17 × 1,637.34
  4. Step 4: Simplify right side
    2,613.66x = 6,412,101.79
  5. Step 5: Solve for x
    x = 6,412,101.79/2,613.66
  6. Step 6: Final answer
    x = 2,453.30

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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.