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Finding the Fourth Proportional to 3,072.30, 4,608.54 and 880.98

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Solution

The fourth proportional to 3,072.30, 4,608.54 and 880.98 is: 1,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.30 : 4,608.54 = 880.98 : x
  2. Step 2: Convert to fraction form
    3,072.30/4,608.54 = 880.98/x
  3. Step 3: Cross multiply
    3,072.30x = 4,608.54 × 880.98
  4. Step 4: Simplify right side
    3,072.30x = 4,060,031.57
  5. Step 5: Solve for x
    x = 4,060,031.57/3,072.30
  6. Step 6: Final answer
    x = 1,321.50

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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.