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Finding the Fourth Proportional to 2,256.51, 3,375.05 and 2,008.11

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Solution

The fourth proportional to 2,256.51, 3,375.05 and 2,008.11 is: 3,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.51 : 3,375.05 = 2,008.11 : x
  2. Step 2: Convert to fraction form
    2,256.51/3,375.05 = 2,008.11/x
  3. Step 3: Cross multiply
    2,256.51x = 3,375.05 × 2,008.11
  4. Step 4: Simplify right side
    2,256.51x = 6,777,461.61
  5. Step 5: Solve for x
    x = 6,777,461.61/2,256.51
  6. Step 6: Final answer
    x = 3,003.51

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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.