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Finding the Fourth Proportional to 2,378.76, 3,562.64 and 1,716.44

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Solution

The fourth proportional to 2,378.76, 3,562.64 and 1,716.44 is: 2,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.76 : 3,562.64 = 1,716.44 : x
  2. Step 2: Convert to fraction form
    2,378.76/3,562.64 = 1,716.44/x
  3. Step 3: Cross multiply
    2,378.76x = 3,562.64 × 1,716.44
  4. Step 4: Simplify right side
    2,378.76x = 6,115,057.80
  5. Step 5: Solve for x
    x = 6,115,057.80/2,378.76
  6. Step 6: Final answer
    x = 2,570.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.