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Finding the Fourth Proportional to 2,885.59, 4,327.95 and 805.38

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Solution

The fourth proportional to 2,885.59, 4,327.95 and 805.38 is: 1,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.59 : 4,327.95 = 805.38 : x
  2. Step 2: Convert to fraction form
    2,885.59/4,327.95 = 805.38/x
  3. Step 3: Cross multiply
    2,885.59x = 4,327.95 × 805.38
  4. Step 4: Simplify right side
    2,885.59x = 3,485,644.37
  5. Step 5: Solve for x
    x = 3,485,644.37/2,885.59
  6. Step 6: Final answer
    x = 1,207.95

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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.