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Finding the Fourth Proportional to 2,846.49, 4,267.13 and 2,410.55

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Solution

The fourth proportional to 2,846.49, 4,267.13 and 2,410.55 is: 3,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.49 : 4,267.13 = 2,410.55 : x
  2. Step 2: Convert to fraction form
    2,846.49/4,267.13 = 2,410.55/x
  3. Step 3: Cross multiply
    2,846.49x = 4,267.13 × 2,410.55
  4. Step 4: Simplify right side
    2,846.49x = 10,286,130.22
  5. Step 5: Solve for x
    x = 10,286,130.22/2,846.49
  6. Step 6: Final answer
    x = 3,613.62

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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.