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Finding the Fourth Proportional to 2,328.48, 3,492.96 and 789.52

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Solution

The fourth proportional to 2,328.48, 3,492.96 and 789.52 is: 1,184.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.48 : 3,492.96 = 789.52 : x
  2. Step 2: Convert to fraction form
    2,328.48/3,492.96 = 789.52/x
  3. Step 3: Cross multiply
    2,328.48x = 3,492.96 × 789.52
  4. Step 4: Simplify right side
    2,328.48x = 2,757,761.78
  5. Step 5: Solve for x
    x = 2,757,761.78/2,328.48
  6. Step 6: Final answer
    x = 1,184.36

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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.