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Finding the Fourth Proportional to 2,515.70, 3,777.60 and 1,827.20

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Solution

The fourth proportional to 2,515.70, 3,777.60 and 1,827.20 is: 2,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.70 : 3,777.60 = 1,827.20 : x
  2. Step 2: Convert to fraction form
    2,515.70/3,777.60 = 1,827.20/x
  3. Step 3: Cross multiply
    2,515.70x = 3,777.60 × 1,827.20
  4. Step 4: Simplify right side
    2,515.70x = 6,902,430.72
  5. Step 5: Solve for x
    x = 6,902,430.72/2,515.70
  6. Step 6: Final answer
    x = 2,743.74

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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.