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Finding the Fourth Proportional to 2,292.87, 3,164.22 and 1,507.44

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Solution

The fourth proportional to 2,292.87, 3,164.22 and 1,507.44 is: 2,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.87 : 3,164.22 = 1,507.44 : x
  2. Step 2: Convert to fraction form
    2,292.87/3,164.22 = 1,507.44/x
  3. Step 3: Cross multiply
    2,292.87x = 3,164.22 × 1,507.44
  4. Step 4: Simplify right side
    2,292.87x = 4,769,871.80
  5. Step 5: Solve for x
    x = 4,769,871.80/2,292.87
  6. Step 6: Final answer
    x = 2,080.31

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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.