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Finding the Fourth Proportional to 1,290.33, 1,935.54 and 1,224.72

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Solution

The fourth proportional to 1,290.33, 1,935.54 and 1,224.72 is: 1,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.33 : 1,935.54 = 1,224.72 : x
  2. Step 2: Convert to fraction form
    1,290.33/1,935.54 = 1,224.72/x
  3. Step 3: Cross multiply
    1,290.33x = 1,935.54 × 1,224.72
  4. Step 4: Simplify right side
    1,290.33x = 2,370,494.55
  5. Step 5: Solve for x
    x = 2,370,494.55/1,290.33
  6. Step 6: Final answer
    x = 1,837.12

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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.