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Finding the Fourth Proportional to 2,034.92, 3,051.90 and 648

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Solution

The fourth proportional to 2,034.92, 3,051.90 and 648 is: 971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.92 : 3,051.90 = 648 : x
  2. Step 2: Convert to fraction form
    2,034.92/3,051.90 = 648/x
  3. Step 3: Cross multiply
    2,034.92x = 3,051.90 × 648
  4. Step 4: Simplify right side
    2,034.92x = 1,977,633.02
  5. Step 5: Solve for x
    x = 1,977,633.02/2,034.92
  6. Step 6: Final answer
    x = 971.85

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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.