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Finding the Fourth Proportional to 1,454.54, 2,181.83 and 610.11

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Solution

The fourth proportional to 1,454.54, 2,181.83 and 610.11 is: 915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.54 : 2,181.83 = 610.11 : x
  2. Step 2: Convert to fraction form
    1,454.54/2,181.83 = 610.11/x
  3. Step 3: Cross multiply
    1,454.54x = 2,181.83 × 610.11
  4. Step 4: Simplify right side
    1,454.54x = 1,331,153.25
  5. Step 5: Solve for x
    x = 1,331,153.25/1,454.54
  6. Step 6: Final answer
    x = 915.17

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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.