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Finding the Fourth Proportional to 1,952.50, 2,694.46 and 1,455.58

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Solution

The fourth proportional to 1,952.50, 2,694.46 and 1,455.58 is: 2,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.50 : 2,694.46 = 1,455.58 : x
  2. Step 2: Convert to fraction form
    1,952.50/2,694.46 = 1,455.58/x
  3. Step 3: Cross multiply
    1,952.50x = 2,694.46 × 1,455.58
  4. Step 4: Simplify right side
    1,952.50x = 3,922,002.09
  5. Step 5: Solve for x
    x = 3,922,002.09/1,952.50
  6. Step 6: Final answer
    x = 2,008.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.