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Finding the Fourth Proportional to 1,499.41, 2,069.45 and 940.36

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Solution

The fourth proportional to 1,499.41, 2,069.45 and 940.36 is: 1,297.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.41 : 2,069.45 = 940.36 : x
  2. Step 2: Convert to fraction form
    1,499.41/2,069.45 = 940.36/x
  3. Step 3: Cross multiply
    1,499.41x = 2,069.45 × 940.36
  4. Step 4: Simplify right side
    1,499.41x = 1,946,028.00
  5. Step 5: Solve for x
    x = 1,946,028.00/1,499.41
  6. Step 6: Final answer
    x = 1,297.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.