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Finding the Fourth Proportional to 2,765.49, 3,815.94 and 1,570.56

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Solution

The fourth proportional to 2,765.49, 3,815.94 and 1,570.56 is: 2,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.49 : 3,815.94 = 1,570.56 : x
  2. Step 2: Convert to fraction form
    2,765.49/3,815.94 = 1,570.56/x
  3. Step 3: Cross multiply
    2,765.49x = 3,815.94 × 1,570.56
  4. Step 4: Simplify right side
    2,765.49x = 5,993,162.73
  5. Step 5: Solve for x
    x = 5,993,162.73/2,765.49
  6. Step 6: Final answer
    x = 2,167.13

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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.