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Finding the Fourth Proportional to 1,923.90, 2,886.34 and 625.38

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Solution

The fourth proportional to 1,923.90, 2,886.34 and 625.38 is: 938.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.90 : 2,886.34 = 625.38 : x
  2. Step 2: Convert to fraction form
    1,923.90/2,886.34 = 625.38/x
  3. Step 3: Cross multiply
    1,923.90x = 2,886.34 × 625.38
  4. Step 4: Simplify right side
    1,923.90x = 1,805,059.31
  5. Step 5: Solve for x
    x = 1,805,059.31/1,923.90
  6. Step 6: Final answer
    x = 938.23

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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.