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Finding the Fourth Proportional to 3,023.72, 4,535.84 and 832.40

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Solution

The fourth proportional to 3,023.72, 4,535.84 and 832.40 is: 1,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023.72 : 4,535.84 = 832.40 : x
  2. Step 2: Convert to fraction form
    3,023.72/4,535.84 = 832.40/x
  3. Step 3: Cross multiply
    3,023.72x = 4,535.84 × 832.40
  4. Step 4: Simplify right side
    3,023.72x = 3,775,633.22
  5. Step 5: Solve for x
    x = 3,775,633.22/3,023.72
  6. Step 6: Final answer
    x = 1,248.67

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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.