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Finding the Fourth Proportional to 2,929, 4,042.40 and 1,670.44

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Solution

The fourth proportional to 2,929, 4,042.40 and 1,670.44 is: 2,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929 : 4,042.40 = 1,670.44 : x
  2. Step 2: Convert to fraction form
    2,929/4,042.40 = 1,670.44/x
  3. Step 3: Cross multiply
    2,929x = 4,042.40 × 1,670.44
  4. Step 4: Simplify right side
    2,929x = 6,752,586.66
  5. Step 5: Solve for x
    x = 6,752,586.66/2,929
  6. Step 6: Final answer
    x = 2,305.42

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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.