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Finding the Fourth Proportional to 2,275.67, 3,409.45 and 1,235.01

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Solution

The fourth proportional to 2,275.67, 3,409.45 and 1,235.01 is: 1,850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.67 : 3,409.45 = 1,235.01 : x
  2. Step 2: Convert to fraction form
    2,275.67/3,409.45 = 1,235.01/x
  3. Step 3: Cross multiply
    2,275.67x = 3,409.45 × 1,235.01
  4. Step 4: Simplify right side
    2,275.67x = 4,210,704.84
  5. Step 5: Solve for x
    x = 4,210,704.84/2,275.67
  6. Step 6: Final answer
    x = 1,850.31

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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.