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Finding the Fourth Proportional to 4,114.09, 6,170.99 and 1,648.25

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Solution

The fourth proportional to 4,114.09, 6,170.99 and 1,648.25 is: 2,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.09 : 6,170.99 = 1,648.25 : x
  2. Step 2: Convert to fraction form
    4,114.09/6,170.99 = 1,648.25/x
  3. Step 3: Cross multiply
    4,114.09x = 6,170.99 × 1,648.25
  4. Step 4: Simplify right side
    4,114.09x = 10,171,307.53
  5. Step 5: Solve for x
    x = 10,171,307.53/4,114.09
  6. Step 6: Final answer
    x = 2,472.31

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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.