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Finding the Fourth Proportional to 2,979, 4,468.48 and 1,031.22

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Solution

The fourth proportional to 2,979, 4,468.48 and 1,031.22 is: 1,546.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,979 : 4,468.48 = 1,031.22 : x
  2. Step 2: Convert to fraction form
    2,979/4,468.48 = 1,031.22/x
  3. Step 3: Cross multiply
    2,979x = 4,468.48 × 1,031.22
  4. Step 4: Simplify right side
    2,979x = 4,607,985.95
  5. Step 5: Solve for x
    x = 4,607,985.95/2,979
  6. Step 6: Final answer
    x = 1,546.82

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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.