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Finding the Fourth Proportional to 2,272.52, 3,410.40 and 1,234.64

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Solution

The fourth proportional to 2,272.52, 3,410.40 and 1,234.64 is: 1,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.52 : 3,410.40 = 1,234.64 : x
  2. Step 2: Convert to fraction form
    2,272.52/3,410.40 = 1,234.64/x
  3. Step 3: Cross multiply
    2,272.52x = 3,410.40 × 1,234.64
  4. Step 4: Simplify right side
    2,272.52x = 4,210,616.26
  5. Step 5: Solve for x
    x = 4,210,616.26/2,272.52
  6. Step 6: Final answer
    x = 1,852.84

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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.