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Finding the Fourth Proportional to 2,774.70, 3,829.11 and 1,515.76

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Solution

The fourth proportional to 2,774.70, 3,829.11 and 1,515.76 is: 2,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.70 : 3,829.11 = 1,515.76 : x
  2. Step 2: Convert to fraction form
    2,774.70/3,829.11 = 1,515.76/x
  3. Step 3: Cross multiply
    2,774.70x = 3,829.11 × 1,515.76
  4. Step 4: Simplify right side
    2,774.70x = 5,804,002.20
  5. Step 5: Solve for x
    x = 5,804,002.20/2,774.70
  6. Step 6: Final answer
    x = 2,091.76

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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.