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Finding the Fourth Proportional to 2,110.95, 2,911.95 and 1,446.75

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Solution

The fourth proportional to 2,110.95, 2,911.95 and 1,446.75 is: 1,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.95 : 2,911.95 = 1,446.75 : x
  2. Step 2: Convert to fraction form
    2,110.95/2,911.95 = 1,446.75/x
  3. Step 3: Cross multiply
    2,110.95x = 2,911.95 × 1,446.75
  4. Step 4: Simplify right side
    2,110.95x = 4,212,863.66
  5. Step 5: Solve for x
    x = 4,212,863.66/2,110.95
  6. Step 6: Final answer
    x = 1,995.72

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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.