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Finding the Fourth Proportional to 2,328.07, 3,492.32 and 768.09

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Solution

The fourth proportional to 2,328.07, 3,492.32 and 768.09 is: 1,152.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.07 : 3,492.32 = 768.09 : x
  2. Step 2: Convert to fraction form
    2,328.07/3,492.32 = 768.09/x
  3. Step 3: Cross multiply
    2,328.07x = 3,492.32 × 768.09
  4. Step 4: Simplify right side
    2,328.07x = 2,682,416.07
  5. Step 5: Solve for x
    x = 2,682,416.07/2,328.07
  6. Step 6: Final answer
    x = 1,152.21

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1.5x scale

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.