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Finding the Fourth Proportional to 2,384.52, 3,292.16 and 1,943.47

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Solution

The fourth proportional to 2,384.52, 3,292.16 and 1,943.47 is: 2,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.52 : 3,292.16 = 1,943.47 : x
  2. Step 2: Convert to fraction form
    2,384.52/3,292.16 = 1,943.47/x
  3. Step 3: Cross multiply
    2,384.52x = 3,292.16 × 1,943.47
  4. Step 4: Simplify right side
    2,384.52x = 6,398,214.20
  5. Step 5: Solve for x
    x = 6,398,214.20/2,384.52
  6. Step 6: Final answer
    x = 2,683.23

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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.