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Finding the Fourth Proportional to 3,012.57, 4,518.90 and 821.52

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Solution

The fourth proportional to 3,012.57, 4,518.90 and 821.52 is: 1,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.57 : 4,518.90 = 821.52 : x
  2. Step 2: Convert to fraction form
    3,012.57/4,518.90 = 821.52/x
  3. Step 3: Cross multiply
    3,012.57x = 4,518.90 × 821.52
  4. Step 4: Simplify right side
    3,012.57x = 3,712,366.73
  5. Step 5: Solve for x
    x = 3,712,366.73/3,012.57
  6. Step 6: Final answer
    x = 1,232.29

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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.