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Finding the Fourth Proportional to 2,294.73, 3,440.07 and 907.34

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Solution

The fourth proportional to 2,294.73, 3,440.07 and 907.34 is: 1,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.73 : 3,440.07 = 907.34 : x
  2. Step 2: Convert to fraction form
    2,294.73/3,440.07 = 907.34/x
  3. Step 3: Cross multiply
    2,294.73x = 3,440.07 × 907.34
  4. Step 4: Simplify right side
    2,294.73x = 3,121,295.91
  5. Step 5: Solve for x
    x = 3,121,295.91/2,294.73
  6. Step 6: Final answer
    x = 1,360.20

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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.