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Finding the Fourth Proportional to 1,433.84, 2,152.26 and 1,205.17

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Solution

The fourth proportional to 1,433.84, 2,152.26 and 1,205.17 is: 1,809.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.84 : 2,152.26 = 1,205.17 : x
  2. Step 2: Convert to fraction form
    1,433.84/2,152.26 = 1,205.17/x
  3. Step 3: Cross multiply
    1,433.84x = 2,152.26 × 1,205.17
  4. Step 4: Simplify right side
    1,433.84x = 2,593,833.80
  5. Step 5: Solve for x
    x = 2,593,833.80/1,433.84
  6. Step 6: Final answer
    x = 1,809.02

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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.