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Finding the Fourth Proportional to 2,938.27, 4,407.41 and 746.99

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Solution

The fourth proportional to 2,938.27, 4,407.41 and 746.99 is: 1,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.27 : 4,407.41 = 746.99 : x
  2. Step 2: Convert to fraction form
    2,938.27/4,407.41 = 746.99/x
  3. Step 3: Cross multiply
    2,938.27x = 4,407.41 × 746.99
  4. Step 4: Simplify right side
    2,938.27x = 3,292,291.20
  5. Step 5: Solve for x
    x = 3,292,291.20/2,938.27
  6. Step 6: Final answer
    x = 1,120.49

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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.