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Finding the Fourth Proportional to 1,523.53, 2,102.82 and 1,081.57

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Solution

The fourth proportional to 1,523.53, 2,102.82 and 1,081.57 is: 1,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.53 : 2,102.82 = 1,081.57 : x
  2. Step 2: Convert to fraction form
    1,523.53/2,102.82 = 1,081.57/x
  3. Step 3: Cross multiply
    1,523.53x = 2,102.82 × 1,081.57
  4. Step 4: Simplify right side
    1,523.53x = 2,274,336.51
  5. Step 5: Solve for x
    x = 2,274,336.51/1,523.53
  6. Step 6: Final answer
    x = 1,492.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.