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Finding the Fourth Proportional to 2,325.91, 3,489.32 and 1,094.71

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Solution

The fourth proportional to 2,325.91, 3,489.32 and 1,094.71 is: 1,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.91 : 3,489.32 = 1,094.71 : x
  2. Step 2: Convert to fraction form
    2,325.91/3,489.32 = 1,094.71/x
  3. Step 3: Cross multiply
    2,325.91x = 3,489.32 × 1,094.71
  4. Step 4: Simplify right side
    2,325.91x = 3,819,793.50
  5. Step 5: Solve for x
    x = 3,819,793.50/2,325.91
  6. Step 6: Final answer
    x = 1,642.28

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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.