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Finding the Fourth Proportional to 2,710.53, 4,065.74 and 1,249.69

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Solution

The fourth proportional to 2,710.53, 4,065.74 and 1,249.69 is: 1,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.53 : 4,065.74 = 1,249.69 : x
  2. Step 2: Convert to fraction form
    2,710.53/4,065.74 = 1,249.69/x
  3. Step 3: Cross multiply
    2,710.53x = 4,065.74 × 1,249.69
  4. Step 4: Simplify right side
    2,710.53x = 5,080,914.62
  5. Step 5: Solve for x
    x = 5,080,914.62/2,710.53
  6. Step 6: Final answer
    x = 1,874.51

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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.