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Finding the Fourth Proportional to 3,205.76, 4,802.24 and 2,106.79

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Solution

The fourth proportional to 3,205.76, 4,802.24 and 2,106.79 is: 3,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.76 : 4,802.24 = 2,106.79 : x
  2. Step 2: Convert to fraction form
    3,205.76/4,802.24 = 2,106.79/x
  3. Step 3: Cross multiply
    3,205.76x = 4,802.24 × 2,106.79
  4. Step 4: Simplify right side
    3,205.76x = 10,117,304.47
  5. Step 5: Solve for x
    x = 10,117,304.47/3,205.76
  6. Step 6: Final answer
    x = 3,155.98

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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.