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Finding the Fourth Proportional to 2,663.42, 3,675.51 and 1,468.42

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Solution

The fourth proportional to 2,663.42, 3,675.51 and 1,468.42 is: 2,026.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.42 : 3,675.51 = 1,468.42 : x
  2. Step 2: Convert to fraction form
    2,663.42/3,675.51 = 1,468.42/x
  3. Step 3: Cross multiply
    2,663.42x = 3,675.51 × 1,468.42
  4. Step 4: Simplify right side
    2,663.42x = 5,397,192.39
  5. Step 5: Solve for x
    x = 5,397,192.39/2,663.42
  6. Step 6: Final answer
    x = 2,026.42

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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.