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Finding the Fourth Proportional to 3,211.53, 4,817.30 and 871.74

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Solution

The fourth proportional to 3,211.53, 4,817.30 and 871.74 is: 1,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.53 : 4,817.30 = 871.74 : x
  2. Step 2: Convert to fraction form
    3,211.53/4,817.30 = 871.74/x
  3. Step 3: Cross multiply
    3,211.53x = 4,817.30 × 871.74
  4. Step 4: Simplify right side
    3,211.53x = 4,199,428.74
  5. Step 5: Solve for x
    x = 4,199,428.74/3,211.53
  6. Step 6: Final answer
    x = 1,307.61

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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.