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Finding the Fourth Proportional to 2,906.16, 4,357.88 and 1,055.97

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Solution

The fourth proportional to 2,906.16, 4,357.88 and 1,055.97 is: 1,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.16 : 4,357.88 = 1,055.97 : x
  2. Step 2: Convert to fraction form
    2,906.16/4,357.88 = 1,055.97/x
  3. Step 3: Cross multiply
    2,906.16x = 4,357.88 × 1,055.97
  4. Step 4: Simplify right side
    2,906.16x = 4,601,785.26
  5. Step 5: Solve for x
    x = 4,601,785.26/2,906.16
  6. Step 6: Final answer
    x = 1,583.46

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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.