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Finding the Fourth Proportional to 2,739.80, 4,109.64 and 1,008.02

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Solution

The fourth proportional to 2,739.80, 4,109.64 and 1,008.02 is: 1,512.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.80 : 4,109.64 = 1,008.02 : x
  2. Step 2: Convert to fraction form
    2,739.80/4,109.64 = 1,008.02/x
  3. Step 3: Cross multiply
    2,739.80x = 4,109.64 × 1,008.02
  4. Step 4: Simplify right side
    2,739.80x = 4,142,599.31
  5. Step 5: Solve for x
    x = 4,142,599.31/2,739.80
  6. Step 6: Final answer
    x = 1,512.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.