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Finding the Fourth Proportional to 2,330.84, 3,209.63 and 2,279.11

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Solution

The fourth proportional to 2,330.84, 3,209.63 and 2,279.11 is: 3,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.84 : 3,209.63 = 2,279.11 : x
  2. Step 2: Convert to fraction form
    2,330.84/3,209.63 = 2,279.11/x
  3. Step 3: Cross multiply
    2,330.84x = 3,209.63 × 2,279.11
  4. Step 4: Simplify right side
    2,330.84x = 7,315,088.43
  5. Step 5: Solve for x
    x = 7,315,088.43/2,330.84
  6. Step 6: Final answer
    x = 3,138.39

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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.