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Finding the Fourth Proportional to 2,974.42, 4,462.04 and 1,026.77

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Solution

The fourth proportional to 2,974.42, 4,462.04 and 1,026.77 is: 1,540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.42 : 4,462.04 = 1,026.77 : x
  2. Step 2: Convert to fraction form
    2,974.42/4,462.04 = 1,026.77/x
  3. Step 3: Cross multiply
    2,974.42x = 4,462.04 × 1,026.77
  4. Step 4: Simplify right side
    2,974.42x = 4,581,494.83
  5. Step 5: Solve for x
    x = 4,581,494.83/2,974.42
  6. Step 6: Final answer
    x = 1,540.30

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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.