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Finding the Fourth Proportional to 2,333.14, 3,497.26 and 1,034.30

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Solution

The fourth proportional to 2,333.14, 3,497.26 and 1,034.30 is: 1,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.14 : 3,497.26 = 1,034.30 : x
  2. Step 2: Convert to fraction form
    2,333.14/3,497.26 = 1,034.30/x
  3. Step 3: Cross multiply
    2,333.14x = 3,497.26 × 1,034.30
  4. Step 4: Simplify right side
    2,333.14x = 3,617,216.02
  5. Step 5: Solve for x
    x = 3,617,216.02/2,333.14
  6. Step 6: Final answer
    x = 1,550.36

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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.