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Finding the Fourth Proportional to 1,406.33, 1,940.17 and 816.51

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Solution

The fourth proportional to 1,406.33, 1,940.17 and 816.51 is: 1,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.33 : 1,940.17 = 816.51 : x
  2. Step 2: Convert to fraction form
    1,406.33/1,940.17 = 816.51/x
  3. Step 3: Cross multiply
    1,406.33x = 1,940.17 × 816.51
  4. Step 4: Simplify right side
    1,406.33x = 1,584,168.21
  5. Step 5: Solve for x
    x = 1,584,168.21/1,406.33
  6. Step 6: Final answer
    x = 1,126.46

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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.