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Finding the Fourth Proportional to 2,544.77, 3,816.90 and 696.05

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Solution

The fourth proportional to 2,544.77, 3,816.90 and 696.05 is: 1,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.77 : 3,816.90 = 696.05 : x
  2. Step 2: Convert to fraction form
    2,544.77/3,816.90 = 696.05/x
  3. Step 3: Cross multiply
    2,544.77x = 3,816.90 × 696.05
  4. Step 4: Simplify right side
    2,544.77x = 2,656,753.25
  5. Step 5: Solve for x
    x = 2,656,753.25/2,544.77
  6. Step 6: Final answer
    x = 1,044.01

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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.