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Finding the Fourth Proportional to 2,746.73, 3,792.24 and 1,804.20

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Solution

The fourth proportional to 2,746.73, 3,792.24 and 1,804.20 is: 2,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.73 : 3,792.24 = 1,804.20 : x
  2. Step 2: Convert to fraction form
    2,746.73/3,792.24 = 1,804.20/x
  3. Step 3: Cross multiply
    2,746.73x = 3,792.24 × 1,804.20
  4. Step 4: Simplify right side
    2,746.73x = 6,841,938.42
  5. Step 5: Solve for x
    x = 6,841,938.42/2,746.73
  6. Step 6: Final answer
    x = 2,490.94

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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.