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Finding the Fourth Proportional to 3,016.96, 4,161.18 and 1,897

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Solution

The fourth proportional to 3,016.96, 4,161.18 and 1,897 is: 2,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.96 : 4,161.18 = 1,897 : x
  2. Step 2: Convert to fraction form
    3,016.96/4,161.18 = 1,897/x
  3. Step 3: Cross multiply
    3,016.96x = 4,161.18 × 1,897
  4. Step 4: Simplify right side
    3,016.96x = 7,893,758.46
  5. Step 5: Solve for x
    x = 7,893,758.46/3,016.96
  6. Step 6: Final answer
    x = 2,616.46

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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.