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Finding the Fourth Proportional to 1,357.24, 2,032.62 and 923.08

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Solution

The fourth proportional to 1,357.24, 2,032.62 and 923.08 is: 1,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.24 : 2,032.62 = 923.08 : x
  2. Step 2: Convert to fraction form
    1,357.24/2,032.62 = 923.08/x
  3. Step 3: Cross multiply
    1,357.24x = 2,032.62 × 923.08
  4. Step 4: Simplify right side
    1,357.24x = 1,876,270.87
  5. Step 5: Solve for x
    x = 1,876,270.87/1,357.24
  6. Step 6: Final answer
    x = 1,382.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.