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Finding the Fourth Proportional to 2,272.93, 3,409.43 and 1,497.89

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Solution

The fourth proportional to 2,272.93, 3,409.43 and 1,497.89 is: 2,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.93 : 3,409.43 = 1,497.89 : x
  2. Step 2: Convert to fraction form
    2,272.93/3,409.43 = 1,497.89/x
  3. Step 3: Cross multiply
    2,272.93x = 3,409.43 × 1,497.89
  4. Step 4: Simplify right side
    2,272.93x = 5,106,951.10
  5. Step 5: Solve for x
    x = 5,106,951.10/2,272.93
  6. Step 6: Final answer
    x = 2,246.86

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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.