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Finding the Fourth Proportional to 2,522.63, 3,480.69 and 1,474.49

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Solution

The fourth proportional to 2,522.63, 3,480.69 and 1,474.49 is: 2,034.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.63 : 3,480.69 = 1,474.49 : x
  2. Step 2: Convert to fraction form
    2,522.63/3,480.69 = 1,474.49/x
  3. Step 3: Cross multiply
    2,522.63x = 3,480.69 × 1,474.49
  4. Step 4: Simplify right side
    2,522.63x = 5,132,225.19
  5. Step 5: Solve for x
    x = 5,132,225.19/2,522.63
  6. Step 6: Final answer
    x = 2,034.48

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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.