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Finding the Fourth Proportional to 1,466.45, 2,023.73 and 906.91

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Solution

The fourth proportional to 1,466.45, 2,023.73 and 906.91 is: 1,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.45 : 2,023.73 = 906.91 : x
  2. Step 2: Convert to fraction form
    1,466.45/2,023.73 = 906.91/x
  3. Step 3: Cross multiply
    1,466.45x = 2,023.73 × 906.91
  4. Step 4: Simplify right side
    1,466.45x = 1,835,334.78
  5. Step 5: Solve for x
    x = 1,835,334.78/1,466.45
  6. Step 6: Final answer
    x = 1,251.55

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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.