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Finding the Fourth Proportional to 1,947.69, 2,921.94 and 649.13

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Solution

The fourth proportional to 1,947.69, 2,921.94 and 649.13 is: 973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.69 : 2,921.94 = 649.13 : x
  2. Step 2: Convert to fraction form
    1,947.69/2,921.94 = 649.13/x
  3. Step 3: Cross multiply
    1,947.69x = 2,921.94 × 649.13
  4. Step 4: Simplify right side
    1,947.69x = 1,896,704.30
  5. Step 5: Solve for x
    x = 1,896,704.30/1,947.69
  6. Step 6: Final answer
    x = 973.82

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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.