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Finding the Fourth Proportional to 2,329.34, 3,492.68 and 768.92

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Solution

The fourth proportional to 2,329.34, 3,492.68 and 768.92 is: 1,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.34 : 3,492.68 = 768.92 : x
  2. Step 2: Convert to fraction form
    2,329.34/3,492.68 = 768.92/x
  3. Step 3: Cross multiply
    2,329.34x = 3,492.68 × 768.92
  4. Step 4: Simplify right side
    2,329.34x = 2,685,570.20
  5. Step 5: Solve for x
    x = 2,685,570.20/2,329.34
  6. Step 6: Final answer
    x = 1,152.93

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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.