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Finding the Fourth Proportional to 1,426.75, 2,140.83 and 963.51

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Solution

The fourth proportional to 1,426.75, 2,140.83 and 963.51 is: 1,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.75 : 2,140.83 = 963.51 : x
  2. Step 2: Convert to fraction form
    1,426.75/2,140.83 = 963.51/x
  3. Step 3: Cross multiply
    1,426.75x = 2,140.83 × 963.51
  4. Step 4: Simplify right side
    1,426.75x = 2,062,717.84
  5. Step 5: Solve for x
    x = 2,062,717.84/1,426.75
  6. Step 6: Final answer
    x = 1,445.75

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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.