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Finding the Fourth Proportional to 2,114.01, 3,170.94 and 653.17

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Solution

The fourth proportional to 2,114.01, 3,170.94 and 653.17 is: 979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.01 : 3,170.94 = 653.17 : x
  2. Step 2: Convert to fraction form
    2,114.01/3,170.94 = 653.17/x
  3. Step 3: Cross multiply
    2,114.01x = 3,170.94 × 653.17
  4. Step 4: Simplify right side
    2,114.01x = 2,071,147.03
  5. Step 5: Solve for x
    x = 2,071,147.03/2,114.01
  6. Step 6: Final answer
    x = 979.72

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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.