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Finding the Fourth Proportional to 1,966.98, 2,948.41 and 991.04

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Solution

The fourth proportional to 1,966.98, 2,948.41 and 991.04 is: 1,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.98 : 2,948.41 = 991.04 : x
  2. Step 2: Convert to fraction form
    1,966.98/2,948.41 = 991.04/x
  3. Step 3: Cross multiply
    1,966.98x = 2,948.41 × 991.04
  4. Step 4: Simplify right side
    1,966.98x = 2,921,992.25
  5. Step 5: Solve for x
    x = 2,921,992.25/1,966.98
  6. Step 6: Final answer
    x = 1,485.52

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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.