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Finding the Fourth Proportional to 2,909.97, 4,015.71 and 1,583.64

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Solution

The fourth proportional to 2,909.97, 4,015.71 and 1,583.64 is: 2,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.97 : 4,015.71 = 1,583.64 : x
  2. Step 2: Convert to fraction form
    2,909.97/4,015.71 = 1,583.64/x
  3. Step 3: Cross multiply
    2,909.97x = 4,015.71 × 1,583.64
  4. Step 4: Simplify right side
    2,909.97x = 6,359,438.98
  5. Step 5: Solve for x
    x = 6,359,438.98/2,909.97
  6. Step 6: Final answer
    x = 2,185.40

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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.