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Finding the Fourth Proportional to 3,023.53, 4,535.29 and 832.28

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Solution

The fourth proportional to 3,023.53, 4,535.29 and 832.28 is: 1,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.53 : 4,535.29 = 832.28 : x
  2. Step 2: Convert to fraction form
    3,023.53/4,535.29 = 832.28/x
  3. Step 3: Cross multiply
    3,023.53x = 4,535.29 × 832.28
  4. Step 4: Simplify right side
    3,023.53x = 3,774,609.53
  5. Step 5: Solve for x
    x = 3,774,609.53/3,023.53
  6. Step 6: Final answer
    x = 1,248.41

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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.