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Finding the Fourth Proportional to 2,145.98, 2,961.28 and 1,201.64

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Solution

The fourth proportional to 2,145.98, 2,961.28 and 1,201.64 is: 1,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.98 : 2,961.28 = 1,201.64 : x
  2. Step 2: Convert to fraction form
    2,145.98/2,961.28 = 1,201.64/x
  3. Step 3: Cross multiply
    2,145.98x = 2,961.28 × 1,201.64
  4. Step 4: Simplify right side
    2,145.98x = 3,558,398.76
  5. Step 5: Solve for x
    x = 3,558,398.76/2,145.98
  6. Step 6: Final answer
    x = 1,658.17

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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.