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Finding the Fourth Proportional to 4,452.35, 6,677.06 and 1,640.53

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Solution

The fourth proportional to 4,452.35, 6,677.06 and 1,640.53 is: 2,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.35 : 6,677.06 = 1,640.53 : x
  2. Step 2: Convert to fraction form
    4,452.35/6,677.06 = 1,640.53/x
  3. Step 3: Cross multiply
    4,452.35x = 6,677.06 × 1,640.53
  4. Step 4: Simplify right side
    4,452.35x = 10,953,917.39
  5. Step 5: Solve for x
    x = 10,953,917.39/4,452.35
  6. Step 6: Final answer
    x = 2,460.26

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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.