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Finding the Fourth Proportional to 2,047.07, 3,070.79 and 660.44

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Solution

The fourth proportional to 2,047.07, 3,070.79 and 660.44 is: 990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.07 : 3,070.79 = 660.44 : x
  2. Step 2: Convert to fraction form
    2,047.07/3,070.79 = 660.44/x
  3. Step 3: Cross multiply
    2,047.07x = 3,070.79 × 660.44
  4. Step 4: Simplify right side
    2,047.07x = 2,028,072.55
  5. Step 5: Solve for x
    x = 2,028,072.55/2,047.07
  6. Step 6: Final answer
    x = 990.72

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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.