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Finding the Fourth Proportional to 2,475.67, 3,713.41 and 744.25

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Solution

The fourth proportional to 2,475.67, 3,713.41 and 744.25 is: 1,116.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.67 : 3,713.41 = 744.25 : x
  2. Step 2: Convert to fraction form
    2,475.67/3,713.41 = 744.25/x
  3. Step 3: Cross multiply
    2,475.67x = 3,713.41 × 744.25
  4. Step 4: Simplify right side
    2,475.67x = 2,763,705.39
  5. Step 5: Solve for x
    x = 2,763,705.39/2,475.67
  6. Step 6: Final answer
    x = 1,116.35

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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.