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Finding the Fourth Proportional to 1,535.15, 2,117.81 and 905.68

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Solution

The fourth proportional to 1,535.15, 2,117.81 and 905.68 is: 1,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.15 : 2,117.81 = 905.68 : x
  2. Step 2: Convert to fraction form
    1,535.15/2,117.81 = 905.68/x
  3. Step 3: Cross multiply
    1,535.15x = 2,117.81 × 905.68
  4. Step 4: Simplify right side
    1,535.15x = 1,918,063.07
  5. Step 5: Solve for x
    x = 1,918,063.07/1,535.15
  6. Step 6: Final answer
    x = 1,249.43

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