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Finding the Fourth Proportional to 2,064.87, 2,849.49 and 1,225.98

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Solution

The fourth proportional to 2,064.87, 2,849.49 and 1,225.98 is: 1,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.87 : 2,849.49 = 1,225.98 : x
  2. Step 2: Convert to fraction form
    2,064.87/2,849.49 = 1,225.98/x
  3. Step 3: Cross multiply
    2,064.87x = 2,849.49 × 1,225.98
  4. Step 4: Simplify right side
    2,064.87x = 3,493,417.75
  5. Step 5: Solve for x
    x = 3,493,417.75/2,064.87
  6. Step 6: Final answer
    x = 1,691.83

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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.