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Finding the Fourth Proportional to 1,947.96, 2,922.18 and 649.14

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Solution

The fourth proportional to 1,947.96, 2,922.18 and 649.14 is: 973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.96 : 2,922.18 = 649.14 : x
  2. Step 2: Convert to fraction form
    1,947.96/2,922.18 = 649.14/x
  3. Step 3: Cross multiply
    1,947.96x = 2,922.18 × 649.14
  4. Step 4: Simplify right side
    1,947.96x = 1,896,903.93
  5. Step 5: Solve for x
    x = 1,896,903.93/1,947.96
  6. Step 6: Final answer
    x = 973.79

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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.