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Finding the Fourth Proportional to 1,943.07, 2,912.68 and 772.39

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Solution

The fourth proportional to 1,943.07, 2,912.68 and 772.39 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.07 : 2,912.68 = 772.39 : x
  2. Step 2: Convert to fraction form
    1,943.07/2,912.68 = 772.39/x
  3. Step 3: Cross multiply
    1,943.07x = 2,912.68 × 772.39
  4. Step 4: Simplify right side
    1,943.07x = 2,249,724.91
  5. Step 5: Solve for x
    x = 2,249,724.91/1,943.07
  6. Step 6: Final answer
    x = 1,157.82

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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.