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Finding the Fourth Proportional to 2,286.08, 3,412.48 and 2,068.48

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Solution

The fourth proportional to 2,286.08, 3,412.48 and 2,068.48 is: 3,087.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.08 : 3,412.48 = 2,068.48 : x
  2. Step 2: Convert to fraction form
    2,286.08/3,412.48 = 2,068.48/x
  3. Step 3: Cross multiply
    2,286.08x = 3,412.48 × 2,068.48
  4. Step 4: Simplify right side
    2,286.08x = 7,058,646.63
  5. Step 5: Solve for x
    x = 7,058,646.63/2,286.08
  6. Step 6: Final answer
    x = 3,087.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.