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Finding the Fourth Proportional to 3,023.79, 4,535.93 and 832.52

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Solution

The fourth proportional to 3,023.79, 4,535.93 and 832.52 is: 1,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.79 : 4,535.93 = 832.52 : x
  2. Step 2: Convert to fraction form
    3,023.79/4,535.93 = 832.52/x
  3. Step 3: Cross multiply
    3,023.79x = 4,535.93 × 832.52
  4. Step 4: Simplify right side
    3,023.79x = 3,776,252.44
  5. Step 5: Solve for x
    x = 3,776,252.44/3,023.79
  6. Step 6: Final answer
    x = 1,248.85

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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.