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Finding the Fourth Proportional to 2,115.02, 3,172.02 and 653.78

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Solution

The fourth proportional to 2,115.02, 3,172.02 and 653.78 is: 980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.02 : 3,172.02 = 653.78 : x
  2. Step 2: Convert to fraction form
    2,115.02/3,172.02 = 653.78/x
  3. Step 3: Cross multiply
    2,115.02x = 3,172.02 × 653.78
  4. Step 4: Simplify right side
    2,115.02x = 2,073,803.24
  5. Step 5: Solve for x
    x = 2,073,803.24/2,115.02
  6. Step 6: Final answer
    x = 980.51

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Double scale
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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.