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Finding the Fourth Proportional to 2,294.88, 3,442.44 and 2,178.24

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Solution

The fourth proportional to 2,294.88, 3,442.44 and 2,178.24 is: 3,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.88 : 3,442.44 = 2,178.24 : x
  2. Step 2: Convert to fraction form
    2,294.88/3,442.44 = 2,178.24/x
  3. Step 3: Cross multiply
    2,294.88x = 3,442.44 × 2,178.24
  4. Step 4: Simplify right side
    2,294.88x = 7,498,460.51
  5. Step 5: Solve for x
    x = 7,498,460.51/2,294.88
  6. Step 6: Final answer
    x = 3,267.47

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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.