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Finding the Fourth Proportional to 2,325.58, 3,489.03 and 938.20

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Solution

The fourth proportional to 2,325.58, 3,489.03 and 938.20 is: 1,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.58 : 3,489.03 = 938.20 : x
  2. Step 2: Convert to fraction form
    2,325.58/3,489.03 = 938.20/x
  3. Step 3: Cross multiply
    2,325.58x = 3,489.03 × 938.20
  4. Step 4: Simplify right side
    2,325.58x = 3,273,390.50
  5. Step 5: Solve for x
    x = 3,273,390.50/2,325.58
  6. Step 6: Final answer
    x = 1,407.56

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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.