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Finding the Fourth Proportional to 1,635.97, 2,454.98 and 906.06

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Solution

The fourth proportional to 1,635.97, 2,454.98 and 906.06 is: 1,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.97 : 2,454.98 = 906.06 : x
  2. Step 2: Convert to fraction form
    1,635.97/2,454.98 = 906.06/x
  3. Step 3: Cross multiply
    1,635.97x = 2,454.98 × 906.06
  4. Step 4: Simplify right side
    1,635.97x = 2,224,342.37
  5. Step 5: Solve for x
    x = 2,224,342.37/1,635.97
  6. Step 6: Final answer
    x = 1,359.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.