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Finding the Fourth Proportional to 2,973, 4,102.26 and 1,714.04

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Solution

The fourth proportional to 2,973, 4,102.26 and 1,714.04 is: 2,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973 : 4,102.26 = 1,714.04 : x
  2. Step 2: Convert to fraction form
    2,973/4,102.26 = 1,714.04/x
  3. Step 3: Cross multiply
    2,973x = 4,102.26 × 1,714.04
  4. Step 4: Simplify right side
    2,973x = 7,031,437.73
  5. Step 5: Solve for x
    x = 7,031,437.73/2,973
  6. Step 6: Final answer
    x = 2,365.10

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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.