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Finding the Fourth Proportional to 1,753, 2,418.06 and 1,404.52

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Solution

The fourth proportional to 1,753, 2,418.06 and 1,404.52 is: 1,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753 : 2,418.06 = 1,404.52 : x
  2. Step 2: Convert to fraction form
    1,753/2,418.06 = 1,404.52/x
  3. Step 3: Cross multiply
    1,753x = 2,418.06 × 1,404.52
  4. Step 4: Simplify right side
    1,753x = 3,396,213.63
  5. Step 5: Solve for x
    x = 3,396,213.63/1,753
  6. Step 6: Final answer
    x = 1,937.37

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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.