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Finding the Fourth Proportional to 2,005.77, 3,003.79 and 1,387.74

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Solution

The fourth proportional to 2,005.77, 3,003.79 and 1,387.74 is: 2,078.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.77 : 3,003.79 = 1,387.74 : x
  2. Step 2: Convert to fraction form
    2,005.77/3,003.79 = 1,387.74/x
  3. Step 3: Cross multiply
    2,005.77x = 3,003.79 × 1,387.74
  4. Step 4: Simplify right side
    2,005.77x = 4,168,457.58
  5. Step 5: Solve for x
    x = 4,168,457.58/2,005.77
  6. Step 6: Final answer
    x = 2,078.24

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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.