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Finding the Fourth Proportional to 3,021.36, 4,531.20 and 940.74

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Solution

The fourth proportional to 3,021.36, 4,531.20 and 940.74 is: 1,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.36 : 4,531.20 = 940.74 : x
  2. Step 2: Convert to fraction form
    3,021.36/4,531.20 = 940.74/x
  3. Step 3: Cross multiply
    3,021.36x = 4,531.20 × 940.74
  4. Step 4: Simplify right side
    3,021.36x = 4,262,681.09
  5. Step 5: Solve for x
    x = 4,262,681.09/3,021.36
  6. Step 6: Final answer
    x = 1,410.85

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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.