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Finding the Fourth Proportional to 1,339.92, 1,999.86 and 1,184.25

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Solution

The fourth proportional to 1,339.92, 1,999.86 and 1,184.25 is: 1,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.92 : 1,999.86 = 1,184.25 : x
  2. Step 2: Convert to fraction form
    1,339.92/1,999.86 = 1,184.25/x
  3. Step 3: Cross multiply
    1,339.92x = 1,999.86 × 1,184.25
  4. Step 4: Simplify right side
    1,339.92x = 2,368,334.21
  5. Step 5: Solve for x
    x = 2,368,334.21/1,339.92
  6. Step 6: Final answer
    x = 1,767.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.