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Finding the Fourth Proportional to 1,536.35, 2,120.05 and 906.84

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Solution

The fourth proportional to 1,536.35, 2,120.05 and 906.84 is: 1,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.35 : 2,120.05 = 906.84 : x
  2. Step 2: Convert to fraction form
    1,536.35/2,120.05 = 906.84/x
  3. Step 3: Cross multiply
    1,536.35x = 2,120.05 × 906.84
  4. Step 4: Simplify right side
    1,536.35x = 1,922,546.14
  5. Step 5: Solve for x
    x = 1,922,546.14/1,536.35
  6. Step 6: Final answer
    x = 1,251.37

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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.