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Finding the Fourth Proportional to 1,371.70, 1,892.41 and 846.82

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Solution

The fourth proportional to 1,371.70, 1,892.41 and 846.82 is: 1,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.70 : 1,892.41 = 846.82 : x
  2. Step 2: Convert to fraction form
    1,371.70/1,892.41 = 846.82/x
  3. Step 3: Cross multiply
    1,371.70x = 1,892.41 × 846.82
  4. Step 4: Simplify right side
    1,371.70x = 1,602,530.64
  5. Step 5: Solve for x
    x = 1,602,530.64/1,371.70
  6. Step 6: Final answer
    x = 1,168.28

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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.