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Finding the Fourth Proportional to 1,233.84, 1,848.33 and 943.86

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Solution

The fourth proportional to 1,233.84, 1,848.33 and 943.86 is: 1,413.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.84 : 1,848.33 = 943.86 : x
  2. Step 2: Convert to fraction form
    1,233.84/1,848.33 = 943.86/x
  3. Step 3: Cross multiply
    1,233.84x = 1,848.33 × 943.86
  4. Step 4: Simplify right side
    1,233.84x = 1,744,564.75
  5. Step 5: Solve for x
    x = 1,744,564.75/1,233.84
  6. Step 6: Final answer
    x = 1,413.93

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Why These Related Problems?

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