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Finding the Fourth Proportional to 2,007.90, 3,011.49 and 546.93

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Solution

The fourth proportional to 2,007.90, 3,011.49 and 546.93 is: 820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.90 : 3,011.49 = 546.93 : x
  2. Step 2: Convert to fraction form
    2,007.90/3,011.49 = 546.93/x
  3. Step 3: Cross multiply
    2,007.90x = 3,011.49 × 546.93
  4. Step 4: Simplify right side
    2,007.90x = 1,647,074.23
  5. Step 5: Solve for x
    x = 1,647,074.23/2,007.90
  6. Step 6: Final answer
    x = 820.30

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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.