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Finding the Fourth Proportional to 2,304.60, 3,175.92 and 2,156.37

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Solution

The fourth proportional to 2,304.60, 3,175.92 and 2,156.37 is: 2,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,304.60 : 3,175.92 = 2,156.37 : x
  2. Step 2: Convert to fraction form
    2,304.60/3,175.92 = 2,156.37/x
  3. Step 3: Cross multiply
    2,304.60x = 3,175.92 × 2,156.37
  4. Step 4: Simplify right side
    2,304.60x = 6,848,458.61
  5. Step 5: Solve for x
    x = 6,848,458.61/2,304.60
  6. Step 6: Final answer
    x = 2,971.65

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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.