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Finding the Fourth Proportional to 2,425.46, 3,639.99 and 944.91

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Solution

The fourth proportional to 2,425.46, 3,639.99 and 944.91 is: 1,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,425.46 : 3,639.99 = 944.91 : x
  2. Step 2: Convert to fraction form
    2,425.46/3,639.99 = 944.91/x
  3. Step 3: Cross multiply
    2,425.46x = 3,639.99 × 944.91
  4. Step 4: Simplify right side
    2,425.46x = 3,439,462.95
  5. Step 5: Solve for x
    x = 3,439,462.95/2,425.46
  6. Step 6: Final answer
    x = 1,418.07

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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.