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Finding the Fourth Proportional to 2,483.82, 3,725.72 and 944.82

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Solution

The fourth proportional to 2,483.82, 3,725.72 and 944.82 is: 1,417.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483.82 : 3,725.72 = 944.82 : x
  2. Step 2: Convert to fraction form
    2,483.82/3,725.72 = 944.82/x
  3. Step 3: Cross multiply
    2,483.82x = 3,725.72 × 944.82
  4. Step 4: Simplify right side
    2,483.82x = 3,520,134.77
  5. Step 5: Solve for x
    x = 3,520,134.77/2,483.82
  6. Step 6: Final answer
    x = 1,417.23

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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.