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Finding the Fourth Proportional to 2,849, 4,270.56 and 1,206.56

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Solution

The fourth proportional to 2,849, 4,270.56 and 1,206.56 is: 1,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849 : 4,270.56 = 1,206.56 : x
  2. Step 2: Convert to fraction form
    2,849/4,270.56 = 1,206.56/x
  3. Step 3: Cross multiply
    2,849x = 4,270.56 × 1,206.56
  4. Step 4: Simplify right side
    2,849x = 5,152,686.87
  5. Step 5: Solve for x
    x = 5,152,686.87/2,849
  6. Step 6: Final answer
    x = 1,808.59

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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.