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Finding the Fourth Proportional to 1,977, 2,959.05 and 1,456.79

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Solution

The fourth proportional to 1,977, 2,959.05 and 1,456.79 is: 2,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977 : 2,959.05 = 1,456.79 : x
  2. Step 2: Convert to fraction form
    1,977/2,959.05 = 1,456.79/x
  3. Step 3: Cross multiply
    1,977x = 2,959.05 × 1,456.79
  4. Step 4: Simplify right side
    1,977x = 4,310,714.45
  5. Step 5: Solve for x
    x = 4,310,714.45/1,977
  6. Step 6: Final answer
    x = 2,180.43

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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.