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Finding the Fourth Proportional to 2,076.84, 2,867.00 and 1,792.13

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Solution

The fourth proportional to 2,076.84, 2,867.00 and 1,792.13 is: 2,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.84 : 2,867.00 = 1,792.13 : x
  2. Step 2: Convert to fraction form
    2,076.84/2,867.00 = 1,792.13/x
  3. Step 3: Cross multiply
    2,076.84x = 2,867.00 × 1,792.13
  4. Step 4: Simplify right side
    2,076.84x = 5,138,013.41
  5. Step 5: Solve for x
    x = 5,138,013.41/2,076.84
  6. Step 6: Final answer
    x = 2,473.96

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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.