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Finding the Fourth Proportional to 2,531.36, 3,794.44 and 970.94

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Solution

The fourth proportional to 2,531.36, 3,794.44 and 970.94 is: 1,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.36 : 3,794.44 = 970.94 : x
  2. Step 2: Convert to fraction form
    2,531.36/3,794.44 = 970.94/x
  3. Step 3: Cross multiply
    2,531.36x = 3,794.44 × 970.94
  4. Step 4: Simplify right side
    2,531.36x = 3,684,173.57
  5. Step 5: Solve for x
    x = 3,684,173.57/2,531.36
  6. Step 6: Final answer
    x = 1,455.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.