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Finding the Fourth Proportional to 2,684.61, 4,026.89 and 835.71

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Solution

The fourth proportional to 2,684.61, 4,026.89 and 835.71 is: 1,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.61 : 4,026.89 = 835.71 : x
  2. Step 2: Convert to fraction form
    2,684.61/4,026.89 = 835.71/x
  3. Step 3: Cross multiply
    2,684.61x = 4,026.89 × 835.71
  4. Step 4: Simplify right side
    2,684.61x = 3,365,308.06
  5. Step 5: Solve for x
    x = 3,365,308.06/2,684.61
  6. Step 6: Final answer
    x = 1,253.56

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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.