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Finding the Fourth Proportional to 2,007.18, 3,010.50 and 546.24

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Solution

The fourth proportional to 2,007.18, 3,010.50 and 546.24 is: 819.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.18 : 3,010.50 = 546.24 : x
  2. Step 2: Convert to fraction form
    2,007.18/3,010.50 = 546.24/x
  3. Step 3: Cross multiply
    2,007.18x = 3,010.50 × 546.24
  4. Step 4: Simplify right side
    2,007.18x = 1,644,466.81
  5. Step 5: Solve for x
    x = 1,644,466.81/2,007.18
  6. Step 6: Final answer
    x = 819.29

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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.