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Finding the Fourth Proportional to 2,544.01, 3,814.71 and 1,156.69

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Solution

The fourth proportional to 2,544.01, 3,814.71 and 1,156.69 is: 1,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.01 : 3,814.71 = 1,156.69 : x
  2. Step 2: Convert to fraction form
    2,544.01/3,814.71 = 1,156.69/x
  3. Step 3: Cross multiply
    2,544.01x = 3,814.71 × 1,156.69
  4. Step 4: Simplify right side
    2,544.01x = 4,412,436.91
  5. Step 5: Solve for x
    x = 4,412,436.91/2,544.01
  6. Step 6: Final answer
    x = 1,734.44

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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.