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Finding the Fourth Proportional to 3,040.36, 4,560.58 and 819.32

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Solution

The fourth proportional to 3,040.36, 4,560.58 and 819.32 is: 1,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.36 : 4,560.58 = 819.32 : x
  2. Step 2: Convert to fraction form
    3,040.36/4,560.58 = 819.32/x
  3. Step 3: Cross multiply
    3,040.36x = 4,560.58 × 819.32
  4. Step 4: Simplify right side
    3,040.36x = 3,736,574.41
  5. Step 5: Solve for x
    x = 3,736,574.41/3,040.36
  6. Step 6: Final answer
    x = 1,228.99

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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.