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Finding the Fourth Proportional to 2,909.71, 4,015.37 and 1,583.41

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Solution

The fourth proportional to 2,909.71, 4,015.37 and 1,583.41 is: 2,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.71 : 4,015.37 = 1,583.41 : x
  2. Step 2: Convert to fraction form
    2,909.71/4,015.37 = 1,583.41/x
  3. Step 3: Cross multiply
    2,909.71x = 4,015.37 × 1,583.41
  4. Step 4: Simplify right side
    2,909.71x = 6,357,977.01
  5. Step 5: Solve for x
    x = 6,357,977.01/2,909.71
  6. Step 6: Final answer
    x = 2,185.09

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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.