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Finding the Fourth Proportional to 2,792.88, 3,852.36 and 1,743.12

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Solution

The fourth proportional to 2,792.88, 3,852.36 and 1,743.12 is: 2,404.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.88 : 3,852.36 = 1,743.12 : x
  2. Step 2: Convert to fraction form
    2,792.88/3,852.36 = 1,743.12/x
  3. Step 3: Cross multiply
    2,792.88x = 3,852.36 × 1,743.12
  4. Step 4: Simplify right side
    2,792.88x = 6,715,125.76
  5. Step 5: Solve for x
    x = 6,715,125.76/2,792.88
  6. Step 6: Final answer
    x = 2,404.37

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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.