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Finding the Fourth Proportional to 2,084.64, 3,126.30 and 768.24

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Solution

The fourth proportional to 2,084.64, 3,126.30 and 768.24 is: 1,152.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.64 : 3,126.30 = 768.24 : x
  2. Step 2: Convert to fraction form
    2,084.64/3,126.30 = 768.24/x
  3. Step 3: Cross multiply
    2,084.64x = 3,126.30 × 768.24
  4. Step 4: Simplify right side
    2,084.64x = 2,401,748.71
  5. Step 5: Solve for x
    x = 2,401,748.71/2,084.64
  6. Step 6: Final answer
    x = 1,152.12

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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.