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Finding the Fourth Proportional to 2,627.01, 3,930.75 and 1,648.53

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Solution

The fourth proportional to 2,627.01, 3,930.75 and 1,648.53 is: 2,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.01 : 3,930.75 = 1,648.53 : x
  2. Step 2: Convert to fraction form
    2,627.01/3,930.75 = 1,648.53/x
  3. Step 3: Cross multiply
    2,627.01x = 3,930.75 × 1,648.53
  4. Step 4: Simplify right side
    2,627.01x = 6,479,959.30
  5. Step 5: Solve for x
    x = 6,479,959.30/2,627.01
  6. Step 6: Final answer
    x = 2,466.67

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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.