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Finding the Fourth Proportional to 1,339.36, 2,006.16 and 1,211.68

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Solution

The fourth proportional to 1,339.36, 2,006.16 and 1,211.68 is: 1,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.36 : 2,006.16 = 1,211.68 : x
  2. Step 2: Convert to fraction form
    1,339.36/2,006.16 = 1,211.68/x
  3. Step 3: Cross multiply
    1,339.36x = 2,006.16 × 1,211.68
  4. Step 4: Simplify right side
    1,339.36x = 2,430,823.95
  5. Step 5: Solve for x
    x = 2,430,823.95/1,339.36
  6. Step 6: Final answer
    x = 1,814.91

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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.