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Finding the Fourth Proportional to 2,698.89, 4,040.19 and 1,772.70

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Solution

The fourth proportional to 2,698.89, 4,040.19 and 1,772.70 is: 2,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.89 : 4,040.19 = 1,772.70 : x
  2. Step 2: Convert to fraction form
    2,698.89/4,040.19 = 1,772.70/x
  3. Step 3: Cross multiply
    2,698.89x = 4,040.19 × 1,772.70
  4. Step 4: Simplify right side
    2,698.89x = 7,162,044.81
  5. Step 5: Solve for x
    x = 7,162,044.81/2,698.89
  6. Step 6: Final answer
    x = 2,653.70

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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.