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Finding the Fourth Proportional to 2,650.77, 3,654.59 and 2,281.71

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Solution

The fourth proportional to 2,650.77, 3,654.59 and 2,281.71 is: 3,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.77 : 3,654.59 = 2,281.71 : x
  2. Step 2: Convert to fraction form
    2,650.77/3,654.59 = 2,281.71/x
  3. Step 3: Cross multiply
    2,650.77x = 3,654.59 × 2,281.71
  4. Step 4: Simplify right side
    2,650.77x = 8,338,703.14
  5. Step 5: Solve for x
    x = 8,338,703.14/2,650.77
  6. Step 6: Final answer
    x = 3,145.77

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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.