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Finding the Fourth Proportional to 1,847.37, 2,549.08 and 1,101.06

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Solution

The fourth proportional to 1,847.37, 2,549.08 and 1,101.06 is: 1,519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.37 : 2,549.08 = 1,101.06 : x
  2. Step 2: Convert to fraction form
    1,847.37/2,549.08 = 1,101.06/x
  3. Step 3: Cross multiply
    1,847.37x = 2,549.08 × 1,101.06
  4. Step 4: Simplify right side
    1,847.37x = 2,806,690.02
  5. Step 5: Solve for x
    x = 2,806,690.02/1,847.37
  6. Step 6: Final answer
    x = 1,519.29

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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.