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Finding the Fourth Proportional to 3,077.06, 4,615.32 and 885.38

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Solution

The fourth proportional to 3,077.06, 4,615.32 and 885.38 is: 1,327.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.06 : 4,615.32 = 885.38 : x
  2. Step 2: Convert to fraction form
    3,077.06/4,615.32 = 885.38/x
  3. Step 3: Cross multiply
    3,077.06x = 4,615.32 × 885.38
  4. Step 4: Simplify right side
    3,077.06x = 4,086,312.02
  5. Step 5: Solve for x
    x = 4,086,312.02/3,077.06
  6. Step 6: Final answer
    x = 1,327.99

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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.