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Finding the Fourth Proportional to 3,199.67, 4,417.02 and 2,256.23

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Solution

The fourth proportional to 3,199.67, 4,417.02 and 2,256.23 is: 3,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.67 : 4,417.02 = 2,256.23 : x
  2. Step 2: Convert to fraction form
    3,199.67/4,417.02 = 2,256.23/x
  3. Step 3: Cross multiply
    3,199.67x = 4,417.02 × 2,256.23
  4. Step 4: Simplify right side
    3,199.67x = 9,965,790.95
  5. Step 5: Solve for x
    x = 9,965,790.95/3,199.67
  6. Step 6: Final answer
    x = 3,114.64

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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.