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Finding the Fourth Proportional to 2,783.03, 4,142.73 and 2,741.50

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Solution

The fourth proportional to 2,783.03, 4,142.73 and 2,741.50 is: 4,080.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.03 : 4,142.73 = 2,741.50 : x
  2. Step 2: Convert to fraction form
    2,783.03/4,142.73 = 2,741.50/x
  3. Step 3: Cross multiply
    2,783.03x = 4,142.73 × 2,741.50
  4. Step 4: Simplify right side
    2,783.03x = 11,357,309.75
  5. Step 5: Solve for x
    x = 11,357,309.75/2,783.03
  6. Step 6: Final answer
    x = 4,080.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.