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Finding the Fourth Proportional to 3,071.85, 4,608.57 and 880.74

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Solution

The fourth proportional to 3,071.85, 4,608.57 and 880.74 is: 1,321.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.85 : 4,608.57 = 880.74 : x
  2. Step 2: Convert to fraction form
    3,071.85/4,608.57 = 880.74/x
  3. Step 3: Cross multiply
    3,071.85x = 4,608.57 × 880.74
  4. Step 4: Simplify right side
    3,071.85x = 4,058,951.94
  5. Step 5: Solve for x
    x = 4,058,951.94/3,071.85
  6. Step 6: Final answer
    x = 1,321.34

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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.