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Finding the Fourth Proportional to 1,990.32, 2,743.12 and 1,897.96

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Solution

The fourth proportional to 1,990.32, 2,743.12 and 1,897.96 is: 2,615.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.32 : 2,743.12 = 1,897.96 : x
  2. Step 2: Convert to fraction form
    1,990.32/2,743.12 = 1,897.96/x
  3. Step 3: Cross multiply
    1,990.32x = 2,743.12 × 1,897.96
  4. Step 4: Simplify right side
    1,990.32x = 5,206,332.04
  5. Step 5: Solve for x
    x = 5,206,332.04/1,990.32
  6. Step 6: Final answer
    x = 2,615.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.