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Finding the Fourth Proportional to 2,594.42, 3,891.88 and 950.57

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Solution

The fourth proportional to 2,594.42, 3,891.88 and 950.57 is: 1,425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.42 : 3,891.88 = 950.57 : x
  2. Step 2: Convert to fraction form
    2,594.42/3,891.88 = 950.57/x
  3. Step 3: Cross multiply
    2,594.42x = 3,891.88 × 950.57
  4. Step 4: Simplify right side
    2,594.42x = 3,699,504.37
  5. Step 5: Solve for x
    x = 3,699,504.37/2,594.42
  6. Step 6: Final answer
    x = 1,425.95

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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.