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Finding the Fourth Proportional to 2,459.78, 3,680.11 and 2,252.93

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Solution

The fourth proportional to 2,459.78, 3,680.11 and 2,252.93 is: 3,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.78 : 3,680.11 = 2,252.93 : x
  2. Step 2: Convert to fraction form
    2,459.78/3,680.11 = 2,252.93/x
  3. Step 3: Cross multiply
    2,459.78x = 3,680.11 × 2,252.93
  4. Step 4: Simplify right side
    2,459.78x = 8,291,029.00
  5. Step 5: Solve for x
    x = 8,291,029.00/2,459.78
  6. Step 6: Final answer
    x = 3,370.63

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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.