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Finding the Fourth Proportional to 2,201.92, 3,302.88 and 1,510.36

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Solution

The fourth proportional to 2,201.92, 3,302.88 and 1,510.36 is: 2,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.92 : 3,302.88 = 1,510.36 : x
  2. Step 2: Convert to fraction form
    2,201.92/3,302.88 = 1,510.36/x
  3. Step 3: Cross multiply
    2,201.92x = 3,302.88 × 1,510.36
  4. Step 4: Simplify right side
    2,201.92x = 4,988,537.84
  5. Step 5: Solve for x
    x = 4,988,537.84/2,201.92
  6. Step 6: Final answer
    x = 2,265.54

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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.