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Finding the Fourth Proportional to 2,842.64, 3,924.70 and 1,834.75

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Solution

The fourth proportional to 2,842.64, 3,924.70 and 1,834.75 is: 2,533.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.64 : 3,924.70 = 1,834.75 : x
  2. Step 2: Convert to fraction form
    2,842.64/3,924.70 = 1,834.75/x
  3. Step 3: Cross multiply
    2,842.64x = 3,924.70 × 1,834.75
  4. Step 4: Simplify right side
    2,842.64x = 7,200,853.96
  5. Step 5: Solve for x
    x = 7,200,853.96/2,842.64
  6. Step 6: Final answer
    x = 2,533.15

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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.