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Finding the Fourth Proportional to 2,039.70, 3,059.10 and 578.52

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Solution

The fourth proportional to 2,039.70, 3,059.10 and 578.52 is: 867.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.70 : 3,059.10 = 578.52 : x
  2. Step 2: Convert to fraction form
    2,039.70/3,059.10 = 578.52/x
  3. Step 3: Cross multiply
    2,039.70x = 3,059.10 × 578.52
  4. Step 4: Simplify right side
    2,039.70x = 1,769,750.53
  5. Step 5: Solve for x
    x = 1,769,750.53/2,039.70
  6. Step 6: Final answer
    x = 867.65

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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.