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Finding the Fourth Proportional to 2,427.63, 3,642.75 and 1,880.88

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Solution

The fourth proportional to 2,427.63, 3,642.75 and 1,880.88 is: 2,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.63 : 3,642.75 = 1,880.88 : x
  2. Step 2: Convert to fraction form
    2,427.63/3,642.75 = 1,880.88/x
  3. Step 3: Cross multiply
    2,427.63x = 3,642.75 × 1,880.88
  4. Step 4: Simplify right side
    2,427.63x = 6,851,575.62
  5. Step 5: Solve for x
    x = 6,851,575.62/2,427.63
  6. Step 6: Final answer
    x = 2,822.33

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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.