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Finding the Fourth Proportional to 2,546.66, 3,516.47 and 1,603.97

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Solution

The fourth proportional to 2,546.66, 3,516.47 and 1,603.97 is: 2,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.66 : 3,516.47 = 1,603.97 : x
  2. Step 2: Convert to fraction form
    2,546.66/3,516.47 = 1,603.97/x
  3. Step 3: Cross multiply
    2,546.66x = 3,516.47 × 1,603.97
  4. Step 4: Simplify right side
    2,546.66x = 5,640,298.81
  5. Step 5: Solve for x
    x = 5,640,298.81/2,546.66
  6. Step 6: Final answer
    x = 2,214.79

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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.