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Finding the Fourth Proportional to 1,549.56, 2,321.28 and 933.42

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Solution

The fourth proportional to 1,549.56, 2,321.28 and 933.42 is: 1,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.56 : 2,321.28 = 933.42 : x
  2. Step 2: Convert to fraction form
    1,549.56/2,321.28 = 933.42/x
  3. Step 3: Cross multiply
    1,549.56x = 2,321.28 × 933.42
  4. Step 4: Simplify right side
    1,549.56x = 2,166,729.18
  5. Step 5: Solve for x
    x = 2,166,729.18/1,549.56
  6. Step 6: Final answer
    x = 1,398.29

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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.