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Finding the Fourth Proportional to 6,430.80, 9,644.55 and 2,048.31

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Solution

The fourth proportional to 6,430.80, 9,644.55 and 2,048.31 is: 3,071.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.80 : 9,644.55 = 2,048.31 : x
  2. Step 2: Convert to fraction form
    6,430.80/9,644.55 = 2,048.31/x
  3. Step 3: Cross multiply
    6,430.80x = 9,644.55 × 2,048.31
  4. Step 4: Simplify right side
    6,430.80x = 19,755,028.21
  5. Step 5: Solve for x
    x = 19,755,028.21/6,430.80
  6. Step 6: Final answer
    x = 3,071.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.