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Finding the Fourth Proportional to 2,474.52, 3,709.64 and 1,012.74

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Solution

The fourth proportional to 2,474.52, 3,709.64 and 1,012.74 is: 1,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.52 : 3,709.64 = 1,012.74 : x
  2. Step 2: Convert to fraction form
    2,474.52/3,709.64 = 1,012.74/x
  3. Step 3: Cross multiply
    2,474.52x = 3,709.64 × 1,012.74
  4. Step 4: Simplify right side
    2,474.52x = 3,756,900.81
  5. Step 5: Solve for x
    x = 3,756,900.81/2,474.52
  6. Step 6: Final answer
    x = 1,518.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.