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Finding the Fourth Proportional to 2,021.32, 3,016.13 and 1,897.48

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Solution

The fourth proportional to 2,021.32, 3,016.13 and 1,897.48 is: 2,831.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.32 : 3,016.13 = 1,897.48 : x
  2. Step 2: Convert to fraction form
    2,021.32/3,016.13 = 1,897.48/x
  3. Step 3: Cross multiply
    2,021.32x = 3,016.13 × 1,897.48
  4. Step 4: Simplify right side
    2,021.32x = 5,723,046.35
  5. Step 5: Solve for x
    x = 5,723,046.35/2,021.32
  6. Step 6: Final answer
    x = 2,831.34

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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.