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Finding the Fourth Proportional to 2,951.52, 4,426.64 and 1,636.56

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Solution

The fourth proportional to 2,951.52, 4,426.64 and 1,636.56 is: 2,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.52 : 4,426.64 = 1,636.56 : x
  2. Step 2: Convert to fraction form
    2,951.52/4,426.64 = 1,636.56/x
  3. Step 3: Cross multiply
    2,951.52x = 4,426.64 × 1,636.56
  4. Step 4: Simplify right side
    2,951.52x = 7,244,461.96
  5. Step 5: Solve for x
    x = 7,244,461.96/2,951.52
  6. Step 6: Final answer
    x = 2,454.49

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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.