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Finding the Fourth Proportional to 2,872.93, 4,309.50 and 1,023.37

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Solution

The fourth proportional to 2,872.93, 4,309.50 and 1,023.37 is: 1,535.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.93 : 4,309.50 = 1,023.37 : x
  2. Step 2: Convert to fraction form
    2,872.93/4,309.50 = 1,023.37/x
  3. Step 3: Cross multiply
    2,872.93x = 4,309.50 × 1,023.37
  4. Step 4: Simplify right side
    2,872.93x = 4,410,191.47
  5. Step 5: Solve for x
    x = 4,410,191.47/2,872.93
  6. Step 6: Final answer
    x = 1,535.08

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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.