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Finding the Fourth Proportional to 2,638.54, 3,643.28 and 2,048.05

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Solution

The fourth proportional to 2,638.54, 3,643.28 and 2,048.05 is: 2,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.54 : 3,643.28 = 2,048.05 : x
  2. Step 2: Convert to fraction form
    2,638.54/3,643.28 = 2,048.05/x
  3. Step 3: Cross multiply
    2,638.54x = 3,643.28 × 2,048.05
  4. Step 4: Simplify right side
    2,638.54x = 7,461,619.60
  5. Step 5: Solve for x
    x = 7,461,619.60/2,638.54
  6. Step 6: Final answer
    x = 2,827.93

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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.