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Finding the Fourth Proportional to 2,047.64, 3,065.99 and 1,874.30

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Solution

The fourth proportional to 2,047.64, 3,065.99 and 1,874.30 is: 2,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.64 : 3,065.99 = 1,874.30 : x
  2. Step 2: Convert to fraction form
    2,047.64/3,065.99 = 1,874.30/x
  3. Step 3: Cross multiply
    2,047.64x = 3,065.99 × 1,874.30
  4. Step 4: Simplify right side
    2,047.64x = 5,746,560.36
  5. Step 5: Solve for x
    x = 5,746,560.36/2,047.64
  6. Step 6: Final answer
    x = 2,806.44

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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.