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Finding the Fourth Proportional to 2,784.60, 3,840.48 and 1,999.08

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Solution

The fourth proportional to 2,784.60, 3,840.48 and 1,999.08 is: 2,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.60 : 3,840.48 = 1,999.08 : x
  2. Step 2: Convert to fraction form
    2,784.60/3,840.48 = 1,999.08/x
  3. Step 3: Cross multiply
    2,784.60x = 3,840.48 × 1,999.08
  4. Step 4: Simplify right side
    2,784.60x = 7,677,426.76
  5. Step 5: Solve for x
    x = 7,677,426.76/2,784.60
  6. Step 6: Final answer
    x = 2,757.10

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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.