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Finding the Fourth Proportional to 3,026.13, 4,538.49 and 835.02

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Solution

The fourth proportional to 3,026.13, 4,538.49 and 835.02 is: 1,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.13 : 4,538.49 = 835.02 : x
  2. Step 2: Convert to fraction form
    3,026.13/4,538.49 = 835.02/x
  3. Step 3: Cross multiply
    3,026.13x = 4,538.49 × 835.02
  4. Step 4: Simplify right side
    3,026.13x = 3,789,729.92
  5. Step 5: Solve for x
    x = 3,789,729.92/3,026.13
  6. Step 6: Final answer
    x = 1,252.34

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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.