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Finding the Fourth Proportional to 1,549.77, 2,137.73 and 1,363.26

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Solution

The fourth proportional to 1,549.77, 2,137.73 and 1,363.26 is: 1,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.77 : 2,137.73 = 1,363.26 : x
  2. Step 2: Convert to fraction form
    1,549.77/2,137.73 = 1,363.26/x
  3. Step 3: Cross multiply
    1,549.77x = 2,137.73 × 1,363.26
  4. Step 4: Simplify right side
    1,549.77x = 2,914,283.00
  5. Step 5: Solve for x
    x = 2,914,283.00/1,549.77
  6. Step 6: Final answer
    x = 1,880.47

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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.