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Finding the Fourth Proportional to 1,427.07, 1,966.78 and 1,033.41

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Solution

The fourth proportional to 1,427.07, 1,966.78 and 1,033.41 is: 1,424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.07 : 1,966.78 = 1,033.41 : x
  2. Step 2: Convert to fraction form
    1,427.07/1,966.78 = 1,033.41/x
  3. Step 3: Cross multiply
    1,427.07x = 1,966.78 × 1,033.41
  4. Step 4: Simplify right side
    1,427.07x = 2,032,487.54
  5. Step 5: Solve for x
    x = 2,032,487.54/1,427.07
  6. Step 6: Final answer
    x = 1,424.24

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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.