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Finding the Fourth Proportional to 2,613.88, 3,920.86 and 666.12

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Solution

The fourth proportional to 2,613.88, 3,920.86 and 666.12 is: 999.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.88 : 3,920.86 = 666.12 : x
  2. Step 2: Convert to fraction form
    2,613.88/3,920.86 = 666.12/x
  3. Step 3: Cross multiply
    2,613.88x = 3,920.86 × 666.12
  4. Step 4: Simplify right side
    2,613.88x = 2,611,763.26
  5. Step 5: Solve for x
    x = 2,611,763.26/2,613.88
  6. Step 6: Final answer
    x = 999.19

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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.