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Finding the Fourth Proportional to 2,920.84, 4,031.09 and 1,627.44

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Solution

The fourth proportional to 2,920.84, 4,031.09 and 1,627.44 is: 2,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.84 : 4,031.09 = 1,627.44 : x
  2. Step 2: Convert to fraction form
    2,920.84/4,031.09 = 1,627.44/x
  3. Step 3: Cross multiply
    2,920.84x = 4,031.09 × 1,627.44
  4. Step 4: Simplify right side
    2,920.84x = 6,560,357.11
  5. Step 5: Solve for x
    x = 6,560,357.11/2,920.84
  6. Step 6: Final answer
    x = 2,246.05

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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.