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Finding the Fourth Proportional to 2,845.98, 4,269.66 and 871.62

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Solution

The fourth proportional to 2,845.98, 4,269.66 and 871.62 is: 1,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.98 : 4,269.66 = 871.62 : x
  2. Step 2: Convert to fraction form
    2,845.98/4,269.66 = 871.62/x
  3. Step 3: Cross multiply
    2,845.98x = 4,269.66 × 871.62
  4. Step 4: Simplify right side
    2,845.98x = 3,721,521.05
  5. Step 5: Solve for x
    x = 3,721,521.05/2,845.98
  6. Step 6: Final answer
    x = 1,307.64

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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.