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Finding the Fourth Proportional to 1,534.73, 2,118.63 and 905.04

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Solution

The fourth proportional to 1,534.73, 2,118.63 and 905.04 is: 1,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.73 : 2,118.63 = 905.04 : x
  2. Step 2: Convert to fraction form
    1,534.73/2,118.63 = 905.04/x
  3. Step 3: Cross multiply
    1,534.73x = 2,118.63 × 905.04
  4. Step 4: Simplify right side
    1,534.73x = 1,917,444.90
  5. Step 5: Solve for x
    x = 1,917,444.90/1,534.73
  6. Step 6: Final answer
    x = 1,249.37

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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.