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Finding the Fourth Proportional to 2,973, 4,460.10 and 2,049

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Solution

The fourth proportional to 2,973, 4,460.10 and 2,049 is: 3,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973 : 4,460.10 = 2,049 : x
  2. Step 2: Convert to fraction form
    2,973/4,460.10 = 2,049/x
  3. Step 3: Cross multiply
    2,973x = 4,460.10 × 2,049
  4. Step 4: Simplify right side
    2,973x = 9,138,744.90
  5. Step 5: Solve for x
    x = 9,138,744.90/2,973
  6. Step 6: Final answer
    x = 3,073.91

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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.