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Finding the Fourth Proportional to 2,613.79, 3,917 and 1,444.32

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Solution

The fourth proportional to 2,613.79, 3,917 and 1,444.32 is: 2,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.79 : 3,917 = 1,444.32 : x
  2. Step 2: Convert to fraction form
    2,613.79/3,917 = 1,444.32/x
  3. Step 3: Cross multiply
    2,613.79x = 3,917 × 1,444.32
  4. Step 4: Simplify right side
    2,613.79x = 5,657,401.44
  5. Step 5: Solve for x
    x = 5,657,401.44/2,613.79
  6. Step 6: Final answer
    x = 2,164.44

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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.