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Finding the Fourth Proportional to 2,654.39, 3,981.71 and 805.77

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Solution

The fourth proportional to 2,654.39, 3,981.71 and 805.77 is: 1,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.39 : 3,981.71 = 805.77 : x
  2. Step 2: Convert to fraction form
    2,654.39/3,981.71 = 805.77/x
  3. Step 3: Cross multiply
    2,654.39x = 3,981.71 × 805.77
  4. Step 4: Simplify right side
    2,654.39x = 3,208,342.47
  5. Step 5: Solve for x
    x = 3,208,342.47/2,654.39
  6. Step 6: Final answer
    x = 1,208.69

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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.