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Finding the Fourth Proportional to 1,685.73, 2,325.49 and 1,310.14

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Solution

The fourth proportional to 1,685.73, 2,325.49 and 1,310.14 is: 1,807.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.73 : 2,325.49 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    1,685.73/2,325.49 = 1,310.14/x
  3. Step 3: Cross multiply
    1,685.73x = 2,325.49 × 1,310.14
  4. Step 4: Simplify right side
    1,685.73x = 3,046,717.47
  5. Step 5: Solve for x
    x = 3,046,717.47/1,685.73
  6. Step 6: Final answer
    x = 1,807.36

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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.