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Finding the Fourth Proportional to 2,936.96, 4,053 and 1,610.72

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Solution

The fourth proportional to 2,936.96, 4,053 and 1,610.72 is: 2,222.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936.96 : 4,053 = 1,610.72 : x
  2. Step 2: Convert to fraction form
    2,936.96/4,053 = 1,610.72/x
  3. Step 3: Cross multiply
    2,936.96x = 4,053 × 1,610.72
  4. Step 4: Simplify right side
    2,936.96x = 6,528,248.16
  5. Step 5: Solve for x
    x = 6,528,248.16/2,936.96
  6. Step 6: Final answer
    x = 2,222.79

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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.