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Finding the Fourth Proportional to 2,141.78, 3,215.62 and 1,102.64

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Solution

The fourth proportional to 2,141.78, 3,215.62 and 1,102.64 is: 1,655.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.78 : 3,215.62 = 1,102.64 : x
  2. Step 2: Convert to fraction form
    2,141.78/3,215.62 = 1,102.64/x
  3. Step 3: Cross multiply
    2,141.78x = 3,215.62 × 1,102.64
  4. Step 4: Simplify right side
    2,141.78x = 3,545,671.24
  5. Step 5: Solve for x
    x = 3,545,671.24/2,141.78
  6. Step 6: Final answer
    x = 1,655.48

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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.