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Finding the Fourth Proportional to 2,003.35, 3,005.16 and 1,271.92

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Solution

The fourth proportional to 2,003.35, 3,005.16 and 1,271.92 is: 1,907.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.35 : 3,005.16 = 1,271.92 : x
  2. Step 2: Convert to fraction form
    2,003.35/3,005.16 = 1,271.92/x
  3. Step 3: Cross multiply
    2,003.35x = 3,005.16 × 1,271.92
  4. Step 4: Simplify right side
    2,003.35x = 3,822,323.11
  5. Step 5: Solve for x
    x = 3,822,323.11/2,003.35
  6. Step 6: Final answer
    x = 1,907.97

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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.