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Finding the Fourth Proportional to 2,114.81, 2,917.54 and 1,416.41

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Solution

The fourth proportional to 2,114.81, 2,917.54 and 1,416.41 is: 1,954.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.81 : 2,917.54 = 1,416.41 : x
  2. Step 2: Convert to fraction form
    2,114.81/2,917.54 = 1,416.41/x
  3. Step 3: Cross multiply
    2,114.81x = 2,917.54 × 1,416.41
  4. Step 4: Simplify right side
    2,114.81x = 4,132,432.83
  5. Step 5: Solve for x
    x = 4,132,432.83/2,114.81
  6. Step 6: Final answer
    x = 1,954.04

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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.