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Finding the Fourth Proportional to 1,947.75, 2,921.63 and 649.32

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Solution

The fourth proportional to 1,947.75, 2,921.63 and 649.32 is: 973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.75 : 2,921.63 = 649.32 : x
  2. Step 2: Convert to fraction form
    1,947.75/2,921.63 = 649.32/x
  3. Step 3: Cross multiply
    1,947.75x = 2,921.63 × 649.32
  4. Step 4: Simplify right side
    1,947.75x = 1,897,069.55
  5. Step 5: Solve for x
    x = 1,897,069.55/1,947.75
  6. Step 6: Final answer
    x = 973.98

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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.