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Finding the Fourth Proportional to 1,224.80, 1,827.22 and 1,007.72

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Solution

The fourth proportional to 1,224.80, 1,827.22 and 1,007.72 is: 1,503.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.80 : 1,827.22 = 1,007.72 : x
  2. Step 2: Convert to fraction form
    1,224.80/1,827.22 = 1,007.72/x
  3. Step 3: Cross multiply
    1,224.80x = 1,827.22 × 1,007.72
  4. Step 4: Simplify right side
    1,224.80x = 1,841,326.14
  5. Step 5: Solve for x
    x = 1,841,326.14/1,224.80
  6. Step 6: Final answer
    x = 1,503.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.