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Finding the Fourth Proportional to 2,656.73, 3,985.23 and 807.90

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Solution

The fourth proportional to 2,656.73, 3,985.23 and 807.90 is: 1,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.73 : 3,985.23 = 807.90 : x
  2. Step 2: Convert to fraction form
    2,656.73/3,985.23 = 807.90/x
  3. Step 3: Cross multiply
    2,656.73x = 3,985.23 × 807.90
  4. Step 4: Simplify right side
    2,656.73x = 3,219,667.32
  5. Step 5: Solve for x
    x = 3,219,667.32/2,656.73
  6. Step 6: Final answer
    x = 1,211.89

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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.