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Finding the Fourth Proportional to 1,949.85, 2,921.70 and 715.56

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Solution

The fourth proportional to 1,949.85, 2,921.70 and 715.56 is: 1,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949.85 : 2,921.70 = 715.56 : x
  2. Step 2: Convert to fraction form
    1,949.85/2,921.70 = 715.56/x
  3. Step 3: Cross multiply
    1,949.85x = 2,921.70 × 715.56
  4. Step 4: Simplify right side
    1,949.85x = 2,090,645.56
  5. Step 5: Solve for x
    x = 2,090,645.56/1,949.85
  6. Step 6: Final answer
    x = 1,072.21

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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.