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Finding the Fourth Proportional to 1,899.98, 2,831.86 and 1,863.54

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Solution

The fourth proportional to 1,899.98, 2,831.86 and 1,863.54 is: 2,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.98 : 2,831.86 = 1,863.54 : x
  2. Step 2: Convert to fraction form
    1,899.98/2,831.86 = 1,863.54/x
  3. Step 3: Cross multiply
    1,899.98x = 2,831.86 × 1,863.54
  4. Step 4: Simplify right side
    1,899.98x = 5,277,284.38
  5. Step 5: Solve for x
    x = 5,277,284.38/1,899.98
  6. Step 6: Final answer
    x = 2,777.55

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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.