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Finding the Fourth Proportional to 2,181.78, 3,014.28 and 1,853.64

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Solution

The fourth proportional to 2,181.78, 3,014.28 and 1,853.64 is: 2,560.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.78 : 3,014.28 = 1,853.64 : x
  2. Step 2: Convert to fraction form
    2,181.78/3,014.28 = 1,853.64/x
  3. Step 3: Cross multiply
    2,181.78x = 3,014.28 × 1,853.64
  4. Step 4: Simplify right side
    2,181.78x = 5,587,389.98
  5. Step 5: Solve for x
    x = 5,587,389.98/2,181.78
  6. Step 6: Final answer
    x = 2,560.93

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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.