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Finding the Fourth Proportional to 2,486.02, 3,723.54 and 2,256.40

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Solution

The fourth proportional to 2,486.02, 3,723.54 and 2,256.40 is: 3,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.02 : 3,723.54 = 2,256.40 : x
  2. Step 2: Convert to fraction form
    2,486.02/3,723.54 = 2,256.40/x
  3. Step 3: Cross multiply
    2,486.02x = 3,723.54 × 2,256.40
  4. Step 4: Simplify right side
    2,486.02x = 8,401,795.66
  5. Step 5: Solve for x
    x = 8,401,795.66/2,486.02
  6. Step 6: Final answer
    x = 3,379.62

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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.