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Finding the Fourth Proportional to 2,104.40, 2,903.87 and 2,033.66

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Solution

The fourth proportional to 2,104.40, 2,903.87 and 2,033.66 is: 2,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.40 : 2,903.87 = 2,033.66 : x
  2. Step 2: Convert to fraction form
    2,104.40/2,903.87 = 2,033.66/x
  3. Step 3: Cross multiply
    2,104.40x = 2,903.87 × 2,033.66
  4. Step 4: Simplify right side
    2,104.40x = 5,905,468.83
  5. Step 5: Solve for x
    x = 5,905,468.83/2,104.40
  6. Step 6: Final answer
    x = 2,806.25

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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.