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Finding the Fourth Proportional to 2,272.62, 3,402.45 and 1,925.94

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Solution

The fourth proportional to 2,272.62, 3,402.45 and 1,925.94 is: 2,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.62 : 3,402.45 = 1,925.94 : x
  2. Step 2: Convert to fraction form
    2,272.62/3,402.45 = 1,925.94/x
  3. Step 3: Cross multiply
    2,272.62x = 3,402.45 × 1,925.94
  4. Step 4: Simplify right side
    2,272.62x = 6,552,914.55
  5. Step 5: Solve for x
    x = 6,552,914.55/2,272.62
  6. Step 6: Final answer
    x = 2,883.42

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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.