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Finding the Fourth Proportional to 1,535.24, 2,118.84 and 872.36

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Solution

The fourth proportional to 1,535.24, 2,118.84 and 872.36 is: 1,203.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.24 : 2,118.84 = 872.36 : x
  2. Step 2: Convert to fraction form
    1,535.24/2,118.84 = 872.36/x
  3. Step 3: Cross multiply
    1,535.24x = 2,118.84 × 872.36
  4. Step 4: Simplify right side
    1,535.24x = 1,848,391.26
  5. Step 5: Solve for x
    x = 1,848,391.26/1,535.24
  6. Step 6: Final answer
    x = 1,203.98

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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.