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Finding the Fourth Proportional to 1,383.14, 1,907.52 and 1,009.97

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Solution

The fourth proportional to 1,383.14, 1,907.52 and 1,009.97 is: 1,392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.14 : 1,907.52 = 1,009.97 : x
  2. Step 2: Convert to fraction form
    1,383.14/1,907.52 = 1,009.97/x
  3. Step 3: Cross multiply
    1,383.14x = 1,907.52 × 1,009.97
  4. Step 4: Simplify right side
    1,383.14x = 1,926,537.97
  5. Step 5: Solve for x
    x = 1,926,537.97/1,383.14
  6. Step 6: Final answer
    x = 1,392.87

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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.