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Finding the Fourth Proportional to 2,974.38, 4,461.63 and 1,675.81

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Solution

The fourth proportional to 2,974.38, 4,461.63 and 1,675.81 is: 2,513.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.38 : 4,461.63 = 1,675.81 : x
  2. Step 2: Convert to fraction form
    2,974.38/4,461.63 = 1,675.81/x
  3. Step 3: Cross multiply
    2,974.38x = 4,461.63 × 1,675.81
  4. Step 4: Simplify right side
    2,974.38x = 7,476,844.17
  5. Step 5: Solve for x
    x = 7,476,844.17/2,974.38
  6. Step 6: Final answer
    x = 2,513.75

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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.