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Finding the Fourth Proportional to 1,275.21, 1,915.52 and 1,201.23

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Solution

The fourth proportional to 1,275.21, 1,915.52 and 1,201.23 is: 1,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.21 : 1,915.52 = 1,201.23 : x
  2. Step 2: Convert to fraction form
    1,275.21/1,915.52 = 1,201.23/x
  3. Step 3: Cross multiply
    1,275.21x = 1,915.52 × 1,201.23
  4. Step 4: Simplify right side
    1,275.21x = 2,300,974.08
  5. Step 5: Solve for x
    x = 2,300,974.08/1,275.21
  6. Step 6: Final answer
    x = 1,804.39

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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.