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Finding the Fourth Proportional to 2,872.17, 4,308.21 and 1,636.47

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Solution

The fourth proportional to 2,872.17, 4,308.21 and 1,636.47 is: 2,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.17 : 4,308.21 = 1,636.47 : x
  2. Step 2: Convert to fraction form
    2,872.17/4,308.21 = 1,636.47/x
  3. Step 3: Cross multiply
    2,872.17x = 4,308.21 × 1,636.47
  4. Step 4: Simplify right side
    2,872.17x = 7,050,256.42
  5. Step 5: Solve for x
    x = 7,050,256.42/2,872.17
  6. Step 6: Final answer
    x = 2,454.68

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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.