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Finding the Fourth Proportional to 1,847.19, 2,549.09 and 1,007.87

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Solution

The fourth proportional to 1,847.19, 2,549.09 and 1,007.87 is: 1,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.19 : 2,549.09 = 1,007.87 : x
  2. Step 2: Convert to fraction form
    1,847.19/2,549.09 = 1,007.87/x
  3. Step 3: Cross multiply
    1,847.19x = 2,549.09 × 1,007.87
  4. Step 4: Simplify right side
    1,847.19x = 2,569,135.44
  5. Step 5: Solve for x
    x = 2,569,135.44/1,847.19
  6. Step 6: Final answer
    x = 1,390.83

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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.