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Finding the Fourth Proportional to 2,574.02, 3,860.94 and 842.66

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Solution

The fourth proportional to 2,574.02, 3,860.94 and 842.66 is: 1,263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.02 : 3,860.94 = 842.66 : x
  2. Step 2: Convert to fraction form
    2,574.02/3,860.94 = 842.66/x
  3. Step 3: Cross multiply
    2,574.02x = 3,860.94 × 842.66
  4. Step 4: Simplify right side
    2,574.02x = 3,253,459.70
  5. Step 5: Solve for x
    x = 3,253,459.70/2,574.02
  6. Step 6: Final answer
    x = 1,263.96

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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.