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Finding the Fourth Proportional to 1,921.97, 2,880.78 and 948.75

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Solution

The fourth proportional to 1,921.97, 2,880.78 and 948.75 is: 1,422.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.97 : 2,880.78 = 948.75 : x
  2. Step 2: Convert to fraction form
    1,921.97/2,880.78 = 948.75/x
  3. Step 3: Cross multiply
    1,921.97x = 2,880.78 × 948.75
  4. Step 4: Simplify right side
    1,921.97x = 2,733,140.03
  5. Step 5: Solve for x
    x = 2,733,140.03/1,921.97
  6. Step 6: Final answer
    x = 1,422.06

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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.