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Finding the Fourth Proportional to 1,753.88, 2,420.42 and 967.91

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Solution

The fourth proportional to 1,753.88, 2,420.42 and 967.91 is: 1,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.88 : 2,420.42 = 967.91 : x
  2. Step 2: Convert to fraction form
    1,753.88/2,420.42 = 967.91/x
  3. Step 3: Cross multiply
    1,753.88x = 2,420.42 × 967.91
  4. Step 4: Simplify right side
    1,753.88x = 2,342,731.78
  5. Step 5: Solve for x
    x = 2,342,731.78/1,753.88
  6. Step 6: Final answer
    x = 1,335.75

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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.