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Finding the Fourth Proportional to 1,907.92, 2,845.91 and 1,596.28

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Solution

The fourth proportional to 1,907.92, 2,845.91 and 1,596.28 is: 2,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.92 : 2,845.91 = 1,596.28 : x
  2. Step 2: Convert to fraction form
    1,907.92/2,845.91 = 1,596.28/x
  3. Step 3: Cross multiply
    1,907.92x = 2,845.91 × 1,596.28
  4. Step 4: Simplify right side
    1,907.92x = 4,542,869.21
  5. Step 5: Solve for x
    x = 4,542,869.21/1,907.92
  6. Step 6: Final answer
    x = 2,381.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.