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Finding the Fourth Proportional to 2,564.46, 3,840.62 and 2,012.85

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Solution

The fourth proportional to 2,564.46, 3,840.62 and 2,012.85 is: 3,014.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.46 : 3,840.62 = 2,012.85 : x
  2. Step 2: Convert to fraction form
    2,564.46/3,840.62 = 2,012.85/x
  3. Step 3: Cross multiply
    2,564.46x = 3,840.62 × 2,012.85
  4. Step 4: Simplify right side
    2,564.46x = 7,730,581.90
  5. Step 5: Solve for x
    x = 7,730,581.90/2,564.46
  6. Step 6: Final answer
    x = 3,014.51

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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.