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Finding the Fourth Proportional to 2,007.55, 3,010.97 and 546.51

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Solution

The fourth proportional to 2,007.55, 3,010.97 and 546.51 is: 819.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.55 : 3,010.97 = 546.51 : x
  2. Step 2: Convert to fraction form
    2,007.55/3,010.97 = 546.51/x
  3. Step 3: Cross multiply
    2,007.55x = 3,010.97 × 546.51
  4. Step 4: Simplify right side
    2,007.55x = 1,645,537.87
  5. Step 5: Solve for x
    x = 1,645,537.87/2,007.55
  6. Step 6: Final answer
    x = 819.67

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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.