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Finding the Fourth Proportional to 2,617.39, 3,920.89 and 1,577.67

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Solution

The fourth proportional to 2,617.39, 3,920.89 and 1,577.67 is: 2,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.39 : 3,920.89 = 1,577.67 : x
  2. Step 2: Convert to fraction form
    2,617.39/3,920.89 = 1,577.67/x
  3. Step 3: Cross multiply
    2,617.39x = 3,920.89 × 1,577.67
  4. Step 4: Simplify right side
    2,617.39x = 6,185,870.53
  5. Step 5: Solve for x
    x = 6,185,870.53/2,617.39
  6. Step 6: Final answer
    x = 2,363.37

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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.