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Finding the Fourth Proportional to 2,442.84, 3,664.17 and 711.42

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Solution

The fourth proportional to 2,442.84, 3,664.17 and 711.42 is: 1,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.84 : 3,664.17 = 711.42 : x
  2. Step 2: Convert to fraction form
    2,442.84/3,664.17 = 711.42/x
  3. Step 3: Cross multiply
    2,442.84x = 3,664.17 × 711.42
  4. Step 4: Simplify right side
    2,442.84x = 2,606,763.82
  5. Step 5: Solve for x
    x = 2,606,763.82/2,442.84
  6. Step 6: Final answer
    x = 1,067.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.