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Finding the Fourth Proportional to 3,064.64, 4,596.21 and 872.78

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Solution

The fourth proportional to 3,064.64, 4,596.21 and 872.78 is: 1,308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.64 : 4,596.21 = 872.78 : x
  2. Step 2: Convert to fraction form
    3,064.64/4,596.21 = 872.78/x
  3. Step 3: Cross multiply
    3,064.64x = 4,596.21 × 872.78
  4. Step 4: Simplify right side
    3,064.64x = 4,011,457.18
  5. Step 5: Solve for x
    x = 4,011,457.18/3,064.64
  6. Step 6: Final answer
    x = 1,308.95

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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.