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Finding the Fourth Proportional to 2,535.08, 3,801.69 and 974.27

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Solution

The fourth proportional to 2,535.08, 3,801.69 and 974.27 is: 1,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.08 : 3,801.69 = 974.27 : x
  2. Step 2: Convert to fraction form
    2,535.08/3,801.69 = 974.27/x
  3. Step 3: Cross multiply
    2,535.08x = 3,801.69 × 974.27
  4. Step 4: Simplify right side
    2,535.08x = 3,703,882.02
  5. Step 5: Solve for x
    x = 3,703,882.02/2,535.08
  6. Step 6: Final answer
    x = 1,461.05

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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.