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Finding the Fourth Proportional to 2,314.88, 3,468.54 and 2,228.48

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Solution

The fourth proportional to 2,314.88, 3,468.54 and 2,228.48 is: 3,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.88 : 3,468.54 = 2,228.48 : x
  2. Step 2: Convert to fraction form
    2,314.88/3,468.54 = 2,228.48/x
  3. Step 3: Cross multiply
    2,314.88x = 3,468.54 × 2,228.48
  4. Step 4: Simplify right side
    2,314.88x = 7,729,572.02
  5. Step 5: Solve for x
    x = 7,729,572.02/2,314.88
  6. Step 6: Final answer
    x = 3,339.08

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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.