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Finding the Fourth Proportional to 2,698.83, 4,048.79 and 1,138.83

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Solution

The fourth proportional to 2,698.83, 4,048.79 and 1,138.83 is: 1,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.83 : 4,048.79 = 1,138.83 : x
  2. Step 2: Convert to fraction form
    2,698.83/4,048.79 = 1,138.83/x
  3. Step 3: Cross multiply
    2,698.83x = 4,048.79 × 1,138.83
  4. Step 4: Simplify right side
    2,698.83x = 4,610,887.94
  5. Step 5: Solve for x
    x = 4,610,887.94/2,698.83
  6. Step 6: Final answer
    x = 1,708.48

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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.