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Finding the Fourth Proportional to 2,138.04, 2,948.94 and 1,635.03

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Solution

The fourth proportional to 2,138.04, 2,948.94 and 1,635.03 is: 2,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.04 : 2,948.94 = 1,635.03 : x
  2. Step 2: Convert to fraction form
    2,138.04/2,948.94 = 1,635.03/x
  3. Step 3: Cross multiply
    2,138.04x = 2,948.94 × 1,635.03
  4. Step 4: Simplify right side
    2,138.04x = 4,821,605.37
  5. Step 5: Solve for x
    x = 4,821,605.37/2,138.04
  6. Step 6: Final answer
    x = 2,255.15

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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.