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Finding the Fourth Proportional to 1,970.19, 2,957.11 and 996.97

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Solution

The fourth proportional to 1,970.19, 2,957.11 and 996.97 is: 1,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.19 : 2,957.11 = 996.97 : x
  2. Step 2: Convert to fraction form
    1,970.19/2,957.11 = 996.97/x
  3. Step 3: Cross multiply
    1,970.19x = 2,957.11 × 996.97
  4. Step 4: Simplify right side
    1,970.19x = 2,948,144.97
  5. Step 5: Solve for x
    x = 2,948,144.97/1,970.19
  6. Step 6: Final answer
    x = 1,496.38

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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.