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Finding the Fourth Proportional to 2,328.96, 3,492.06 and 942.96

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Solution

The fourth proportional to 2,328.96, 3,492.06 and 942.96 is: 1,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.96 : 3,492.06 = 942.96 : x
  2. Step 2: Convert to fraction form
    2,328.96/3,492.06 = 942.96/x
  3. Step 3: Cross multiply
    2,328.96x = 3,492.06 × 942.96
  4. Step 4: Simplify right side
    2,328.96x = 3,292,872.90
  5. Step 5: Solve for x
    x = 3,292,872.90/2,328.96
  6. Step 6: Final answer
    x = 1,413.88

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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.