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Finding the Fourth Proportional to 2,297.47, 3,169.81 and 1,588.48

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Solution

The fourth proportional to 2,297.47, 3,169.81 and 1,588.48 is: 2,191.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.47 : 3,169.81 = 1,588.48 : x
  2. Step 2: Convert to fraction form
    2,297.47/3,169.81 = 1,588.48/x
  3. Step 3: Cross multiply
    2,297.47x = 3,169.81 × 1,588.48
  4. Step 4: Simplify right side
    2,297.47x = 5,035,179.79
  5. Step 5: Solve for x
    x = 5,035,179.79/2,297.47
  6. Step 6: Final answer
    x = 2,191.62

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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.