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Finding the Fourth Proportional to 2,698.61, 4,046.77 and 1,139.31

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Solution

The fourth proportional to 2,698.61, 4,046.77 and 1,139.31 is: 1,708.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.61 : 4,046.77 = 1,139.31 : x
  2. Step 2: Convert to fraction form
    2,698.61/4,046.77 = 1,139.31/x
  3. Step 3: Cross multiply
    2,698.61x = 4,046.77 × 1,139.31
  4. Step 4: Simplify right side
    2,698.61x = 4,610,525.53
  5. Step 5: Solve for x
    x = 4,610,525.53/2,698.61
  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.