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Finding the Fourth Proportional to 3,072.47, 4,608.72 and 881.03

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Solution

The fourth proportional to 3,072.47, 4,608.72 and 881.03 is: 1,321.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.47 : 4,608.72 = 881.03 : x
  2. Step 2: Convert to fraction form
    3,072.47/4,608.72 = 881.03/x
  3. Step 3: Cross multiply
    3,072.47x = 4,608.72 × 881.03
  4. Step 4: Simplify right side
    3,072.47x = 4,060,420.58
  5. Step 5: Solve for x
    x = 4,060,420.58/3,072.47
  6. Step 6: Final answer
    x = 1,321.55

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.