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Finding the Fourth Proportional to 2,669.50, 3,988.04 and 2,232.10

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Solution

The fourth proportional to 2,669.50, 3,988.04 and 2,232.10 is: 3,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.50 : 3,988.04 = 2,232.10 : x
  2. Step 2: Convert to fraction form
    2,669.50/3,988.04 = 2,232.10/x
  3. Step 3: Cross multiply
    2,669.50x = 3,988.04 × 2,232.10
  4. Step 4: Simplify right side
    2,669.50x = 8,901,704.08
  5. Step 5: Solve for x
    x = 8,901,704.08/2,669.50
  6. Step 6: Final answer
    x = 3,334.60

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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.