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Finding the Fourth Proportional to 2,043, 3,055.16 and 1,523.37

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Solution

The fourth proportional to 2,043, 3,055.16 and 1,523.37 is: 2,278.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043 : 3,055.16 = 1,523.37 : x
  2. Step 2: Convert to fraction form
    2,043/3,055.16 = 1,523.37/x
  3. Step 3: Cross multiply
    2,043x = 3,055.16 × 1,523.37
  4. Step 4: Simplify right side
    2,043x = 4,654,131.47
  5. Step 5: Solve for x
    x = 4,654,131.47/2,043
  6. Step 6: Final answer
    x = 2,278.09

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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.