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Finding the Fourth Proportional to 2,486.61, 3,734.06 and 2,223.45

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Solution

The fourth proportional to 2,486.61, 3,734.06 and 2,223.45 is: 3,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.61 : 3,734.06 = 2,223.45 : x
  2. Step 2: Convert to fraction form
    2,486.61/3,734.06 = 2,223.45/x
  3. Step 3: Cross multiply
    2,486.61x = 3,734.06 × 2,223.45
  4. Step 4: Simplify right side
    2,486.61x = 8,302,484.59
  5. Step 5: Solve for x
    x = 8,302,484.59/2,486.61
  6. Step 6: Final answer
    x = 3,338.88

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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.