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Finding the Fourth Proportional to 2,511.51, 3,767.20 and 951.45

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Solution

The fourth proportional to 2,511.51, 3,767.20 and 951.45 is: 1,427.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511.51 : 3,767.20 = 951.45 : x
  2. Step 2: Convert to fraction form
    2,511.51/3,767.20 = 951.45/x
  3. Step 3: Cross multiply
    2,511.51x = 3,767.20 × 951.45
  4. Step 4: Simplify right side
    2,511.51x = 3,584,302.44
  5. Step 5: Solve for x
    x = 3,584,302.44/2,511.51
  6. Step 6: Final answer
    x = 1,427.15

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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.