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Finding the Fourth Proportional to 2,972.52, 4,103.11 and 1,714.08

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Solution

The fourth proportional to 2,972.52, 4,103.11 and 1,714.08 is: 2,366.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.52 : 4,103.11 = 1,714.08 : x
  2. Step 2: Convert to fraction form
    2,972.52/4,103.11 = 1,714.08/x
  3. Step 3: Cross multiply
    2,972.52x = 4,103.11 × 1,714.08
  4. Step 4: Simplify right side
    2,972.52x = 7,033,058.79
  5. Step 5: Solve for x
    x = 7,033,058.79/2,972.52
  6. Step 6: Final answer
    x = 2,366.03

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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.