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Finding the Fourth Proportional to 1,591.94, 2,389.28 and 1,105.32

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Solution

The fourth proportional to 1,591.94, 2,389.28 and 1,105.32 is: 1,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.94 : 2,389.28 = 1,105.32 : x
  2. Step 2: Convert to fraction form
    1,591.94/2,389.28 = 1,105.32/x
  3. Step 3: Cross multiply
    1,591.94x = 2,389.28 × 1,105.32
  4. Step 4: Simplify right side
    1,591.94x = 2,640,913.44
  5. Step 5: Solve for x
    x = 2,640,913.44/1,591.94
  6. Step 6: Final answer
    x = 1,658.93

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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.