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Finding the Fourth Proportional to 2,305.39, 3,184.50 and 2,010.15

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Solution

The fourth proportional to 2,305.39, 3,184.50 and 2,010.15 is: 2,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.39 : 3,184.50 = 2,010.15 : x
  2. Step 2: Convert to fraction form
    2,305.39/3,184.50 = 2,010.15/x
  3. Step 3: Cross multiply
    2,305.39x = 3,184.50 × 2,010.15
  4. Step 4: Simplify right side
    2,305.39x = 6,401,322.68
  5. Step 5: Solve for x
    x = 6,401,322.68/2,305.39
  6. Step 6: Final answer
    x = 2,776.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.