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Finding the Fourth Proportional to 2,574.01, 3,858.03 and 1,184.43

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Solution

The fourth proportional to 2,574.01, 3,858.03 and 1,184.43 is: 1,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,574.01 : 3,858.03 = 1,184.43 : x
  2. Step 2: Convert to fraction form
    2,574.01/3,858.03 = 1,184.43/x
  3. Step 3: Cross multiply
    2,574.01x = 3,858.03 × 1,184.43
  4. Step 4: Simplify right side
    2,574.01x = 4,569,553.87
  5. Step 5: Solve for x
    x = 4,569,553.87/2,574.01
  6. Step 6: Final answer
    x = 1,775.27

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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.