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Finding the Fourth Proportional to 2,033.38, 3,047.58 and 862.93

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Solution

The fourth proportional to 2,033.38, 3,047.58 and 862.93 is: 1,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.38 : 3,047.58 = 862.93 : x
  2. Step 2: Convert to fraction form
    2,033.38/3,047.58 = 862.93/x
  3. Step 3: Cross multiply
    2,033.38x = 3,047.58 × 862.93
  4. Step 4: Simplify right side
    2,033.38x = 2,629,848.21
  5. Step 5: Solve for x
    x = 2,629,848.21/2,033.38
  6. Step 6: Final answer
    x = 1,293.34

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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.