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Finding the Fourth Proportional to 1,523.22, 2,284.03 and 1,003.51

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Solution

The fourth proportional to 1,523.22, 2,284.03 and 1,003.51 is: 1,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.22 : 2,284.03 = 1,003.51 : x
  2. Step 2: Convert to fraction form
    1,523.22/2,284.03 = 1,003.51/x
  3. Step 3: Cross multiply
    1,523.22x = 2,284.03 × 1,003.51
  4. Step 4: Simplify right side
    1,523.22x = 2,292,046.95
  5. Step 5: Solve for x
    x = 2,292,046.95/1,523.22
  6. Step 6: Final answer
    x = 1,504.74

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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.