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Finding the Fourth Proportional to 2,114.40, 2,917.62 and 1,182.84

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Solution

The fourth proportional to 2,114.40, 2,917.62 and 1,182.84 is: 1,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.40 : 2,917.62 = 1,182.84 : x
  2. Step 2: Convert to fraction form
    2,114.40/2,917.62 = 1,182.84/x
  3. Step 3: Cross multiply
    2,114.40x = 2,917.62 × 1,182.84
  4. Step 4: Simplify right side
    2,114.40x = 3,451,077.64
  5. Step 5: Solve for x
    x = 3,451,077.64/2,114.40
  6. Step 6: Final answer
    x = 1,632.18

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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.