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Finding the Fourth Proportional to 3,106.54, 4,660.10 and 885.47

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Solution

The fourth proportional to 3,106.54, 4,660.10 and 885.47 is: 1,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.54 : 4,660.10 = 885.47 : x
  2. Step 2: Convert to fraction form
    3,106.54/4,660.10 = 885.47/x
  3. Step 3: Cross multiply
    3,106.54x = 4,660.10 × 885.47
  4. Step 4: Simplify right side
    3,106.54x = 4,126,359.32
  5. Step 5: Solve for x
    x = 4,126,359.32/3,106.54
  6. Step 6: Final answer
    x = 1,328.28

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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.