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Finding the Fourth Proportional to 3,023.49, 4,535.24 and 832.40

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Solution

The fourth proportional to 3,023.49, 4,535.24 and 832.40 is: 1,248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.49 : 4,535.24 = 832.40 : x
  2. Step 2: Convert to fraction form
    3,023.49/4,535.24 = 832.40/x
  3. Step 3: Cross multiply
    3,023.49x = 4,535.24 × 832.40
  4. Step 4: Simplify right side
    3,023.49x = 3,775,106.94
  5. Step 5: Solve for x
    x = 3,775,106.94/3,023.49
  6. Step 6: Final answer
    x = 1,248.59

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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.