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Finding the Fourth Proportional to 1,427.75, 2,145.20 and 907.96

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Solution

The fourth proportional to 1,427.75, 2,145.20 and 907.96 is: 1,364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.75 : 2,145.20 = 907.96 : x
  2. Step 2: Convert to fraction form
    1,427.75/2,145.20 = 907.96/x
  3. Step 3: Cross multiply
    1,427.75x = 2,145.20 × 907.96
  4. Step 4: Simplify right side
    1,427.75x = 1,947,755.79
  5. Step 5: Solve for x
    x = 1,947,755.79/1,427.75
  6. Step 6: Final answer
    x = 1,364.21

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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.