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Finding the Fourth Proportional to 2,684.24, 4,026.46 and 835.52

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Solution

The fourth proportional to 2,684.24, 4,026.46 and 835.52 is: 1,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.24 : 4,026.46 = 835.52 : x
  2. Step 2: Convert to fraction form
    2,684.24/4,026.46 = 835.52/x
  3. Step 3: Cross multiply
    2,684.24x = 4,026.46 × 835.52
  4. Step 4: Simplify right side
    2,684.24x = 3,364,167.20
  5. Step 5: Solve for x
    x = 3,364,167.20/2,684.24
  6. Step 6: Final answer
    x = 1,253.30

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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.