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Finding the Fourth Proportional to 2,175.82, 3,003.39 and 1,292.38

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Solution

The fourth proportional to 2,175.82, 3,003.39 and 1,292.38 is: 1,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.82 : 3,003.39 = 1,292.38 : x
  2. Step 2: Convert to fraction form
    2,175.82/3,003.39 = 1,292.38/x
  3. Step 3: Cross multiply
    2,175.82x = 3,003.39 × 1,292.38
  4. Step 4: Simplify right side
    2,175.82x = 3,881,521.17
  5. Step 5: Solve for x
    x = 3,881,521.17/2,175.82
  6. Step 6: Final answer
    x = 1,783.93

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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.