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Finding the Fourth Proportional to 2,698.17, 4,049.07 and 1,400.55

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Solution

The fourth proportional to 2,698.17, 4,049.07 and 1,400.55 is: 2,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.17 : 4,049.07 = 1,400.55 : x
  2. Step 2: Convert to fraction form
    2,698.17/4,049.07 = 1,400.55/x
  3. Step 3: Cross multiply
    2,698.17x = 4,049.07 × 1,400.55
  4. Step 4: Simplify right side
    2,698.17x = 5,670,924.99
  5. Step 5: Solve for x
    x = 5,670,924.99/2,698.17
  6. Step 6: Final answer
    x = 2,101.77

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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.