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Finding the Fourth Proportional to 2,835.72, 4,253.31 and 986.76

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Solution

The fourth proportional to 2,835.72, 4,253.31 and 986.76 is: 1,480.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.72 : 4,253.31 = 986.76 : x
  2. Step 2: Convert to fraction form
    2,835.72/4,253.31 = 986.76/x
  3. Step 3: Cross multiply
    2,835.72x = 4,253.31 × 986.76
  4. Step 4: Simplify right side
    2,835.72x = 4,196,996.18
  5. Step 5: Solve for x
    x = 4,196,996.18/2,835.72
  6. Step 6: Final answer
    x = 1,480.05

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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.