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Finding the Fourth Proportional to 3,215.94, 4,816.62 and 2,045.94

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Solution

The fourth proportional to 3,215.94, 4,816.62 and 2,045.94 is: 3,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.94 : 4,816.62 = 2,045.94 : x
  2. Step 2: Convert to fraction form
    3,215.94/4,816.62 = 2,045.94/x
  3. Step 3: Cross multiply
    3,215.94x = 4,816.62 × 2,045.94
  4. Step 4: Simplify right side
    3,215.94x = 9,854,515.52
  5. Step 5: Solve for x
    x = 9,854,515.52/3,215.94
  6. Step 6: Final answer
    x = 3,064.27

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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.