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Finding the Fourth Proportional to 2,398.95, 3,304.88 and 2,288.23

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Solution

The fourth proportional to 2,398.95, 3,304.88 and 2,288.23 is: 3,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.95 : 3,304.88 = 2,288.23 : x
  2. Step 2: Convert to fraction form
    2,398.95/3,304.88 = 2,288.23/x
  3. Step 3: Cross multiply
    2,398.95x = 3,304.88 × 2,288.23
  4. Step 4: Simplify right side
    2,398.95x = 7,562,314.44
  5. Step 5: Solve for x
    x = 7,562,314.44/2,398.95
  6. Step 6: Final answer
    x = 3,152.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.