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Finding the Fourth Proportional to 2,806.88, 4,210.30 and 726.87

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Solution

The fourth proportional to 2,806.88, 4,210.30 and 726.87 is: 1,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.88 : 4,210.30 = 726.87 : x
  2. Step 2: Convert to fraction form
    2,806.88/4,210.30 = 726.87/x
  3. Step 3: Cross multiply
    2,806.88x = 4,210.30 × 726.87
  4. Step 4: Simplify right side
    2,806.88x = 3,060,353.37
  5. Step 5: Solve for x
    x = 3,060,353.37/2,806.88
  6. Step 6: Final answer
    x = 1,090.31

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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.