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Finding the Fourth Proportional to 2,316.76, 3,178.09 and 2,191.22

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Solution

The fourth proportional to 2,316.76, 3,178.09 and 2,191.22 is: 3,005.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.76 : 3,178.09 = 2,191.22 : x
  2. Step 2: Convert to fraction form
    2,316.76/3,178.09 = 2,191.22/x
  3. Step 3: Cross multiply
    2,316.76x = 3,178.09 × 2,191.22
  4. Step 4: Simplify right side
    2,316.76x = 6,963,894.37
  5. Step 5: Solve for x
    x = 6,963,894.37/2,316.76
  6. Step 6: Final answer
    x = 3,005.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.