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Finding the Fourth Proportional to 2,114.46, 2,914.23 and 1,783.74

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Solution

The fourth proportional to 2,114.46, 2,914.23 and 1,783.74 is: 2,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.46 : 2,914.23 = 1,783.74 : x
  2. Step 2: Convert to fraction form
    2,114.46/2,914.23 = 1,783.74/x
  3. Step 3: Cross multiply
    2,114.46x = 2,914.23 × 1,783.74
  4. Step 4: Simplify right side
    2,114.46x = 5,198,228.62
  5. Step 5: Solve for x
    x = 5,198,228.62/2,114.46
  6. Step 6: Final answer
    x = 2,458.42

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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.