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Finding the Fourth Proportional to 1,339.89, 2,006.06 and 906.27

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Solution

The fourth proportional to 1,339.89, 2,006.06 and 906.27 is: 1,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.89 : 2,006.06 = 906.27 : x
  2. Step 2: Convert to fraction form
    1,339.89/2,006.06 = 906.27/x
  3. Step 3: Cross multiply
    1,339.89x = 2,006.06 × 906.27
  4. Step 4: Simplify right side
    1,339.89x = 1,818,027.46
  5. Step 5: Solve for x
    x = 1,818,027.46/1,339.89
  6. Step 6: Final answer
    x = 1,356.85

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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.