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Finding the Fourth Proportional to 2,784.60, 3,839.67 and 2,041.02

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Solution

The fourth proportional to 2,784.60, 3,839.67 and 2,041.02 is: 2,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.60 : 3,839.67 = 2,041.02 : x
  2. Step 2: Convert to fraction form
    2,784.60/3,839.67 = 2,041.02/x
  3. Step 3: Cross multiply
    2,784.60x = 3,839.67 × 2,041.02
  4. Step 4: Simplify right side
    2,784.60x = 7,836,843.26
  5. Step 5: Solve for x
    x = 7,836,843.26/2,784.60
  6. Step 6: Final answer
    x = 2,814.35

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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.