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Finding the Fourth Proportional to 1,466.21, 2,022.99 and 906.95

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Solution

The fourth proportional to 1,466.21, 2,022.99 and 906.95 is: 1,251.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.21 : 2,022.99 = 906.95 : x
  2. Step 2: Convert to fraction form
    1,466.21/2,022.99 = 906.95/x
  3. Step 3: Cross multiply
    1,466.21x = 2,022.99 × 906.95
  4. Step 4: Simplify right side
    1,466.21x = 1,834,750.78
  5. Step 5: Solve for x
    x = 1,834,750.78/1,466.21
  6. Step 6: Final answer
    x = 1,251.36

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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.