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Finding the Fourth Proportional to 2,656.98, 3,985.61 and 808.15

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Solution

The fourth proportional to 2,656.98, 3,985.61 and 808.15 is: 1,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.98 : 3,985.61 = 808.15 : x
  2. Step 2: Convert to fraction form
    2,656.98/3,985.61 = 808.15/x
  3. Step 3: Cross multiply
    2,656.98x = 3,985.61 × 808.15
  4. Step 4: Simplify right side
    2,656.98x = 3,220,970.72
  5. Step 5: Solve for x
    x = 3,220,970.72/2,656.98
  6. Step 6: Final answer
    x = 1,212.27

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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.