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Finding the Fourth Proportional to 2,774.54, 3,824.54 and 1,888.82

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Solution

The fourth proportional to 2,774.54, 3,824.54 and 1,888.82 is: 2,603.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.54 : 3,824.54 = 1,888.82 : x
  2. Step 2: Convert to fraction form
    2,774.54/3,824.54 = 1,888.82/x
  3. Step 3: Cross multiply
    2,774.54x = 3,824.54 × 1,888.82
  4. Step 4: Simplify right side
    2,774.54x = 7,223,867.64
  5. Step 5: Solve for x
    x = 7,223,867.64/2,774.54
  6. Step 6: Final answer
    x = 2,603.63

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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.