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Finding the Fourth Proportional to 1,549.17, 2,324.44 and 626.53

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Solution

The fourth proportional to 1,549.17, 2,324.44 and 626.53 is: 940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.17 : 2,324.44 = 626.53 : x
  2. Step 2: Convert to fraction form
    1,549.17/2,324.44 = 626.53/x
  3. Step 3: Cross multiply
    1,549.17x = 2,324.44 × 626.53
  4. Step 4: Simplify right side
    1,549.17x = 1,456,316.64
  5. Step 5: Solve for x
    x = 1,456,316.64/1,549.17
  6. Step 6: Final answer
    x = 940.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.