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Finding the Fourth Proportional to 2,966.78, 4,091.19 and 2,303.39

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Solution

The fourth proportional to 2,966.78, 4,091.19 and 2,303.39 is: 3,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.78 : 4,091.19 = 2,303.39 : x
  2. Step 2: Convert to fraction form
    2,966.78/4,091.19 = 2,303.39/x
  3. Step 3: Cross multiply
    2,966.78x = 4,091.19 × 2,303.39
  4. Step 4: Simplify right side
    2,966.78x = 9,423,606.13
  5. Step 5: Solve for x
    x = 9,423,606.13/2,966.78
  6. Step 6: Final answer
    x = 3,176.38

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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.