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Finding the Fourth Proportional to 2,822.88, 4,210.50 and 2,660.31

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Solution

The fourth proportional to 2,822.88, 4,210.50 and 2,660.31 is: 3,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.88 : 4,210.50 = 2,660.31 : x
  2. Step 2: Convert to fraction form
    2,822.88/4,210.50 = 2,660.31/x
  3. Step 3: Cross multiply
    2,822.88x = 4,210.50 × 2,660.31
  4. Step 4: Simplify right side
    2,822.88x = 11,201,235.26
  5. Step 5: Solve for x
    x = 11,201,235.26/2,822.88
  6. Step 6: Final answer
    x = 3,968.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.