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Finding the Fourth Proportional to 2,656.95, 3,984.20 and 808.26

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Solution

The fourth proportional to 2,656.95, 3,984.20 and 808.26 is: 1,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.95 : 3,984.20 = 808.26 : x
  2. Step 2: Convert to fraction form
    2,656.95/3,984.20 = 808.26/x
  3. Step 3: Cross multiply
    2,656.95x = 3,984.20 × 808.26
  4. Step 4: Simplify right side
    2,656.95x = 3,220,269.49
  5. Step 5: Solve for x
    x = 3,220,269.49/2,656.95
  6. Step 6: Final answer
    x = 1,212.02

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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.