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Finding the Fourth Proportional to 1,923.54, 2,885.33 and 607.23

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Solution

The fourth proportional to 1,923.54, 2,885.33 and 607.23 is: 910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.54 : 2,885.33 = 607.23 : x
  2. Step 2: Convert to fraction form
    1,923.54/2,885.33 = 607.23/x
  3. Step 3: Cross multiply
    1,923.54x = 2,885.33 × 607.23
  4. Step 4: Simplify right side
    1,923.54x = 1,752,058.94
  5. Step 5: Solve for x
    x = 1,752,058.94/1,923.54
  6. Step 6: Final answer
    x = 910.85

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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.