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Finding the Fourth Proportional to 1,967.40, 2,948.67 and 992.97

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Solution

The fourth proportional to 1,967.40, 2,948.67 and 992.97 is: 1,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.40 : 2,948.67 = 992.97 : x
  2. Step 2: Convert to fraction form
    1,967.40/2,948.67 = 992.97/x
  3. Step 3: Cross multiply
    1,967.40x = 2,948.67 × 992.97
  4. Step 4: Simplify right side
    1,967.40x = 2,927,940.85
  5. Step 5: Solve for x
    x = 2,927,940.85/1,967.40
  6. Step 6: Final answer
    x = 1,488.23

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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.