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Finding the Fourth Proportional to 3,067.91, 4,602.08 and 876.66

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Solution

The fourth proportional to 3,067.91, 4,602.08 and 876.66 is: 1,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.91 : 4,602.08 = 876.66 : x
  2. Step 2: Convert to fraction form
    3,067.91/4,602.08 = 876.66/x
  3. Step 3: Cross multiply
    3,067.91x = 4,602.08 × 876.66
  4. Step 4: Simplify right side
    3,067.91x = 4,034,461.64
  5. Step 5: Solve for x
    x = 4,034,461.64/3,067.91
  6. Step 6: Final answer
    x = 1,315.05

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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.