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Finding the Fourth Proportional to 2,110, 2,912.61 and 1,411.78

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Solution

The fourth proportional to 2,110, 2,912.61 and 1,411.78 is: 1,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110 : 2,912.61 = 1,411.78 : x
  2. Step 2: Convert to fraction form
    2,110/2,912.61 = 1,411.78/x
  3. Step 3: Cross multiply
    2,110x = 2,912.61 × 1,411.78
  4. Step 4: Simplify right side
    2,110x = 4,111,964.55
  5. Step 5: Solve for x
    x = 4,111,964.55/2,110
  6. Step 6: Final answer
    x = 1,948.80

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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.