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Finding the Fourth Proportional to 2,897.44, 4,346.31 and 817.60

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Solution

The fourth proportional to 2,897.44, 4,346.31 and 817.60 is: 1,226.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.44 : 4,346.31 = 817.60 : x
  2. Step 2: Convert to fraction form
    2,897.44/4,346.31 = 817.60/x
  3. Step 3: Cross multiply
    2,897.44x = 4,346.31 × 817.60
  4. Step 4: Simplify right side
    2,897.44x = 3,553,543.06
  5. Step 5: Solve for x
    x = 3,553,543.06/2,897.44
  6. Step 6: Final answer
    x = 1,226.44

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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.