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Finding the Fourth Proportional to 2,230.12, 3,074.98 and 1,669.68

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Solution

The fourth proportional to 2,230.12, 3,074.98 and 1,669.68 is: 2,302.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.12 : 3,074.98 = 1,669.68 : x
  2. Step 2: Convert to fraction form
    2,230.12/3,074.98 = 1,669.68/x
  3. Step 3: Cross multiply
    2,230.12x = 3,074.98 × 1,669.68
  4. Step 4: Simplify right side
    2,230.12x = 5,134,232.61
  5. Step 5: Solve for x
    x = 5,134,232.61/2,230.12
  6. Step 6: Final answer
    x = 2,302.22

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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.