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Finding the Fourth Proportional to 3,064.70, 4,596.15 and 1,215.20

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Solution

The fourth proportional to 3,064.70, 4,596.15 and 1,215.20 is: 1,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.70 : 4,596.15 = 1,215.20 : x
  2. Step 2: Convert to fraction form
    3,064.70/4,596.15 = 1,215.20/x
  3. Step 3: Cross multiply
    3,064.70x = 4,596.15 × 1,215.20
  4. Step 4: Simplify right side
    3,064.70x = 5,585,241.48
  5. Step 5: Solve for x
    x = 5,585,241.48/3,064.70
  6. Step 6: Final answer
    x = 1,822.44

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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.