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Finding the Fourth Proportional to 3,039.24, 4,558.85 and 987.24

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Solution

The fourth proportional to 3,039.24, 4,558.85 and 987.24 is: 1,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.24 : 4,558.85 = 987.24 : x
  2. Step 2: Convert to fraction form
    3,039.24/4,558.85 = 987.24/x
  3. Step 3: Cross multiply
    3,039.24x = 4,558.85 × 987.24
  4. Step 4: Simplify right side
    3,039.24x = 4,500,664.45
  5. Step 5: Solve for x
    x = 4,500,664.45/3,039.24
  6. Step 6: Final answer
    x = 1,480.85

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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.