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Finding the Fourth Proportional to 2,629.98, 3,946.50 and 1,069.74

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Solution

The fourth proportional to 2,629.98, 3,946.50 and 1,069.74 is: 1,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.98 : 3,946.50 = 1,069.74 : x
  2. Step 2: Convert to fraction form
    2,629.98/3,946.50 = 1,069.74/x
  3. Step 3: Cross multiply
    2,629.98x = 3,946.50 × 1,069.74
  4. Step 4: Simplify right side
    2,629.98x = 4,221,728.91
  5. Step 5: Solve for x
    x = 4,221,728.91/2,629.98
  6. Step 6: Final answer
    x = 1,605.23

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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.