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Finding the Fourth Proportional to 1,462.08, 2,017.49 and 872.50

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Solution

The fourth proportional to 1,462.08, 2,017.49 and 872.50 is: 1,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.08 : 2,017.49 = 872.50 : x
  2. Step 2: Convert to fraction form
    1,462.08/2,017.49 = 872.50/x
  3. Step 3: Cross multiply
    1,462.08x = 2,017.49 × 872.50
  4. Step 4: Simplify right side
    1,462.08x = 1,760,260.03
  5. Step 5: Solve for x
    x = 1,760,260.03/1,462.08
  6. Step 6: Final answer
    x = 1,203.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.