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Finding the Fourth Proportional to 1,984.71, 2,732.66 and 1,685.32

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Solution

The fourth proportional to 1,984.71, 2,732.66 and 1,685.32 is: 2,320.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.71 : 2,732.66 = 1,685.32 : x
  2. Step 2: Convert to fraction form
    1,984.71/2,732.66 = 1,685.32/x
  3. Step 3: Cross multiply
    1,984.71x = 2,732.66 × 1,685.32
  4. Step 4: Simplify right side
    1,984.71x = 4,605,398.12
  5. Step 5: Solve for x
    x = 4,605,398.12/1,984.71
  6. Step 6: Final answer
    x = 2,320.44

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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.