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Finding the Fourth Proportional to 2,653.76, 3,980.12 and 2,522.05

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Solution

The fourth proportional to 2,653.76, 3,980.12 and 2,522.05 is: 3,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.76 : 3,980.12 = 2,522.05 : x
  2. Step 2: Convert to fraction form
    2,653.76/3,980.12 = 2,522.05/x
  3. Step 3: Cross multiply
    2,653.76x = 3,980.12 × 2,522.05
  4. Step 4: Simplify right side
    2,653.76x = 10,038,039.09
  5. Step 5: Solve for x
    x = 10,038,039.09/2,653.76
  6. Step 6: Final answer
    x = 3,782.58

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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.