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Finding the Fourth Proportional to 2,235.83, 3,085.46 and 1,352.22

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Solution

The fourth proportional to 2,235.83, 3,085.46 and 1,352.22 is: 1,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.83 : 3,085.46 = 1,352.22 : x
  2. Step 2: Convert to fraction form
    2,235.83/3,085.46 = 1,352.22/x
  3. Step 3: Cross multiply
    2,235.83x = 3,085.46 × 1,352.22
  4. Step 4: Simplify right side
    2,235.83x = 4,172,198.53
  5. Step 5: Solve for x
    x = 4,172,198.53/2,235.83
  6. Step 6: Final answer
    x = 1,866.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.