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Finding the Fourth Proportional to 3,071.67, 4,608.01 and 963.43

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Solution

The fourth proportional to 3,071.67, 4,608.01 and 963.43 is: 1,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.67 : 4,608.01 = 963.43 : x
  2. Step 2: Convert to fraction form
    3,071.67/4,608.01 = 963.43/x
  3. Step 3: Cross multiply
    3,071.67x = 4,608.01 × 963.43
  4. Step 4: Simplify right side
    3,071.67x = 4,439,484.76
  5. Step 5: Solve for x
    x = 4,439,484.76/3,071.67
  6. Step 6: Final answer
    x = 1,445.30

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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.