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Finding the Fourth Proportional to 2,698.88, 4,040.78 and 1,461.85

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Solution

The fourth proportional to 2,698.88, 4,040.78 and 1,461.85 is: 2,188.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.88 : 4,040.78 = 1,461.85 : x
  2. Step 2: Convert to fraction form
    2,698.88/4,040.78 = 1,461.85/x
  3. Step 3: Cross multiply
    2,698.88x = 4,040.78 × 1,461.85
  4. Step 4: Simplify right side
    2,698.88x = 5,907,014.24
  5. Step 5: Solve for x
    x = 5,907,014.24/2,698.88
  6. Step 6: Final answer
    x = 2,188.69

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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.