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Finding the Fourth Proportional to 2,005.84, 3,005.94 and 1,079.32

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Solution

The fourth proportional to 2,005.84, 3,005.94 and 1,079.32 is: 1,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.84 : 3,005.94 = 1,079.32 : x
  2. Step 2: Convert to fraction form
    2,005.84/3,005.94 = 1,079.32/x
  3. Step 3: Cross multiply
    2,005.84x = 3,005.94 × 1,079.32
  4. Step 4: Simplify right side
    2,005.84x = 3,244,371.16
  5. Step 5: Solve for x
    x = 3,244,371.16/2,005.84
  6. Step 6: Final answer
    x = 1,617.46

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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.