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Finding the Fourth Proportional to 2,740.53, 4,107.65 and 1,276.59

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Solution

The fourth proportional to 2,740.53, 4,107.65 and 1,276.59 is: 1,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.53 : 4,107.65 = 1,276.59 : x
  2. Step 2: Convert to fraction form
    2,740.53/4,107.65 = 1,276.59/x
  3. Step 3: Cross multiply
    2,740.53x = 4,107.65 × 1,276.59
  4. Step 4: Simplify right side
    2,740.53x = 5,243,793.93
  5. Step 5: Solve for x
    x = 5,243,793.93/2,740.53
  6. Step 6: Final answer
    x = 1,913.42

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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.