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Finding the Fourth Proportional to 2,298.10, 3,443.10 and 2,152.30

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Solution

The fourth proportional to 2,298.10, 3,443.10 and 2,152.30 is: 3,224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.10 : 3,443.10 = 2,152.30 : x
  2. Step 2: Convert to fraction form
    2,298.10/3,443.10 = 2,152.30/x
  3. Step 3: Cross multiply
    2,298.10x = 3,443.10 × 2,152.30
  4. Step 4: Simplify right side
    2,298.10x = 7,410,584.13
  5. Step 5: Solve for x
    x = 7,410,584.13/2,298.10
  6. Step 6: Final answer
    x = 3,224.66

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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.