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Finding the Fourth Proportional to 2,000.48, 2,764.50 and 1,606.82

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Solution

The fourth proportional to 2,000.48, 2,764.50 and 1,606.82 is: 2,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.48 : 2,764.50 = 1,606.82 : x
  2. Step 2: Convert to fraction form
    2,000.48/2,764.50 = 1,606.82/x
  3. Step 3: Cross multiply
    2,000.48x = 2,764.50 × 1,606.82
  4. Step 4: Simplify right side
    2,000.48x = 4,442,053.89
  5. Step 5: Solve for x
    x = 4,442,053.89/2,000.48
  6. Step 6: Final answer
    x = 2,220.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.