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Finding the Fourth Proportional to 2,775.53, 3,830.17 and 1,516.59

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Solution

The fourth proportional to 2,775.53, 3,830.17 and 1,516.59 is: 2,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.53 : 3,830.17 = 1,516.59 : x
  2. Step 2: Convert to fraction form
    2,775.53/3,830.17 = 1,516.59/x
  3. Step 3: Cross multiply
    2,775.53x = 3,830.17 × 1,516.59
  4. Step 4: Simplify right side
    2,775.53x = 5,808,783.70
  5. Step 5: Solve for x
    x = 5,808,783.70/2,775.53
  6. Step 6: Final answer
    x = 2,092.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.