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Finding the Fourth Proportional to 2,328.65, 3,492.20 and 768.27

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Solution

The fourth proportional to 2,328.65, 3,492.20 and 768.27 is: 1,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.65 : 3,492.20 = 768.27 : x
  2. Step 2: Convert to fraction form
    2,328.65/3,492.20 = 768.27/x
  3. Step 3: Cross multiply
    2,328.65x = 3,492.20 × 768.27
  4. Step 4: Simplify right side
    2,328.65x = 2,682,967.51
  5. Step 5: Solve for x
    x = 2,682,967.51/2,328.65
  6. Step 6: Final answer
    x = 1,152.16

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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.