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Finding the Fourth Proportional to 2,574.35, 3,861.48 and 1,014.52

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Solution

The fourth proportional to 2,574.35, 3,861.48 and 1,014.52 is: 1,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.35 : 3,861.48 = 1,014.52 : x
  2. Step 2: Convert to fraction form
    2,574.35/3,861.48 = 1,014.52/x
  3. Step 3: Cross multiply
    2,574.35x = 3,861.48 × 1,014.52
  4. Step 4: Simplify right side
    2,574.35x = 3,917,548.69
  5. Step 5: Solve for x
    x = 3,917,548.69/2,574.35
  6. Step 6: Final answer
    x = 1,521.76

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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.