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Finding the Fourth Proportional to 2,007.46, 3,010.88 and 546.72

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Solution

The fourth proportional to 2,007.46, 3,010.88 and 546.72 is: 820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.46 : 3,010.88 = 546.72 : x
  2. Step 2: Convert to fraction form
    2,007.46/3,010.88 = 546.72/x
  3. Step 3: Cross multiply
    2,007.46x = 3,010.88 × 546.72
  4. Step 4: Simplify right side
    2,007.46x = 1,646,120.97
  5. Step 5: Solve for x
    x = 1,646,120.97/2,007.46
  6. Step 6: Final answer
    x = 820.00

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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.