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Finding the Fourth Proportional to 1,463.75, 2,017.52 and 1,109.56

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Solution

The fourth proportional to 1,463.75, 2,017.52 and 1,109.56 is: 1,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.75 : 2,017.52 = 1,109.56 : x
  2. Step 2: Convert to fraction form
    1,463.75/2,017.52 = 1,109.56/x
  3. Step 3: Cross multiply
    1,463.75x = 2,017.52 × 1,109.56
  4. Step 4: Simplify right side
    1,463.75x = 2,238,548.90
  5. Step 5: Solve for x
    x = 2,238,548.90/1,463.75
  6. Step 6: Final answer
    x = 1,529.32

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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.