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Finding the Fourth Proportional to 1,920.28, 2,877.66 and 945.28

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Solution

The fourth proportional to 1,920.28, 2,877.66 and 945.28 is: 1,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.28 : 2,877.66 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,920.28/2,877.66 = 945.28/x
  3. Step 3: Cross multiply
    1,920.28x = 2,877.66 × 945.28
  4. Step 4: Simplify right side
    1,920.28x = 2,720,194.44
  5. Step 5: Solve for x
    x = 2,720,194.44/1,920.28
  6. Step 6: Final answer
    x = 1,416.56

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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.