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Finding the Fourth Proportional to 2,776.02, 3,830.90 and 1,517.08

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Solution

The fourth proportional to 2,776.02, 3,830.90 and 1,517.08 is: 2,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.02 : 3,830.90 = 1,517.08 : x
  2. Step 2: Convert to fraction form
    2,776.02/3,830.90 = 1,517.08/x
  3. Step 3: Cross multiply
    2,776.02x = 3,830.90 × 1,517.08
  4. Step 4: Simplify right side
    2,776.02x = 5,811,781.77
  5. Step 5: Solve for x
    x = 5,811,781.77/2,776.02
  6. Step 6: Final answer
    x = 2,093.57

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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.