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Finding the Fourth Proportional to 2,737.48, 4,100.46 and 1,277.80

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Solution

The fourth proportional to 2,737.48, 4,100.46 and 1,277.80 is: 1,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.48 : 4,100.46 = 1,277.80 : x
  2. Step 2: Convert to fraction form
    2,737.48/4,100.46 = 1,277.80/x
  3. Step 3: Cross multiply
    2,737.48x = 4,100.46 × 1,277.80
  4. Step 4: Simplify right side
    2,737.48x = 5,239,567.79
  5. Step 5: Solve for x
    x = 5,239,567.79/2,737.48
  6. Step 6: Final answer
    x = 1,914.01

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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.