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Finding the Fourth Proportional to 2,909.98, 4,015.81 and 1,583.68

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Solution

The fourth proportional to 2,909.98, 4,015.81 and 1,583.68 is: 2,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.98 : 4,015.81 = 1,583.68 : x
  2. Step 2: Convert to fraction form
    2,909.98/4,015.81 = 1,583.68/x
  3. Step 3: Cross multiply
    2,909.98x = 4,015.81 × 1,583.68
  4. Step 4: Simplify right side
    2,909.98x = 6,359,757.98
  5. Step 5: Solve for x
    x = 6,359,757.98/2,909.98
  6. Step 6: Final answer
    x = 2,185.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.