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Finding the Fourth Proportional to 3,064.01, 4,596.19 and 872.56

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Solution

The fourth proportional to 3,064.01, 4,596.19 and 872.56 is: 1,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.01 : 4,596.19 = 872.56 : x
  2. Step 2: Convert to fraction form
    3,064.01/4,596.19 = 872.56/x
  3. Step 3: Cross multiply
    3,064.01x = 4,596.19 × 872.56
  4. Step 4: Simplify right side
    3,064.01x = 4,010,451.55
  5. Step 5: Solve for x
    x = 4,010,451.55/3,064.01
  6. Step 6: Final answer
    x = 1,308.89

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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.