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Finding the Fourth Proportional to 2,606.89, 3,907.58 and 1,219.06

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Solution

The fourth proportional to 2,606.89, 3,907.58 and 1,219.06 is: 1,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.89 : 3,907.58 = 1,219.06 : x
  2. Step 2: Convert to fraction form
    2,606.89/3,907.58 = 1,219.06/x
  3. Step 3: Cross multiply
    2,606.89x = 3,907.58 × 1,219.06
  4. Step 4: Simplify right side
    2,606.89x = 4,763,568.38
  5. Step 5: Solve for x
    x = 4,763,568.38/2,606.89
  6. Step 6: Final answer
    x = 1,827.30

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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.