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Finding the Fourth Proportional to 3,287.52, 4,921.53 and 1,985.04

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Solution

The fourth proportional to 3,287.52, 4,921.53 and 1,985.04 is: 2,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.52 : 4,921.53 = 1,985.04 : x
  2. Step 2: Convert to fraction form
    3,287.52/4,921.53 = 1,985.04/x
  3. Step 3: Cross multiply
    3,287.52x = 4,921.53 × 1,985.04
  4. Step 4: Simplify right side
    3,287.52x = 9,769,433.91
  5. Step 5: Solve for x
    x = 9,769,433.91/3,287.52
  6. Step 6: Final answer
    x = 2,971.67

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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.