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Finding the Fourth Proportional to 2,986.96, 4,480.52 and 1,039.24

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Solution

The fourth proportional to 2,986.96, 4,480.52 and 1,039.24 is: 1,558.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.96 : 4,480.52 = 1,039.24 : x
  2. Step 2: Convert to fraction form
    2,986.96/4,480.52 = 1,039.24/x
  3. Step 3: Cross multiply
    2,986.96x = 4,480.52 × 1,039.24
  4. Step 4: Simplify right side
    2,986.96x = 4,656,335.60
  5. Step 5: Solve for x
    x = 4,656,335.60/2,986.96
  6. Step 6: Final answer
    x = 1,558.89

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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.