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Finding the Fourth Proportional to 2,897.46, 4,346.45 and 817.49

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Solution

The fourth proportional to 2,897.46, 4,346.45 and 817.49 is: 1,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.46 : 4,346.45 = 817.49 : x
  2. Step 2: Convert to fraction form
    2,897.46/4,346.45 = 817.49/x
  3. Step 3: Cross multiply
    2,897.46x = 4,346.45 × 817.49
  4. Step 4: Simplify right side
    2,897.46x = 3,553,192.32
  5. Step 5: Solve for x
    x = 3,553,192.32/2,897.46
  6. Step 6: Final answer
    x = 1,226.31

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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.