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Finding the Fourth Proportional to 2,044.41, 2,822.21 and 1,298.80

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Solution

The fourth proportional to 2,044.41, 2,822.21 and 1,298.80 is: 1,792.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.41 : 2,822.21 = 1,298.80 : x
  2. Step 2: Convert to fraction form
    2,044.41/2,822.21 = 1,298.80/x
  3. Step 3: Cross multiply
    2,044.41x = 2,822.21 × 1,298.80
  4. Step 4: Simplify right side
    2,044.41x = 3,665,486.35
  5. Step 5: Solve for x
    x = 3,665,486.35/2,044.41
  6. Step 6: Final answer
    x = 1,792.93

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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.