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Finding the Fourth Proportional to 2,138.55, 3,204.23 and 1,040.55

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Solution

The fourth proportional to 2,138.55, 3,204.23 and 1,040.55 is: 1,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.55 : 3,204.23 = 1,040.55 : x
  2. Step 2: Convert to fraction form
    2,138.55/3,204.23 = 1,040.55/x
  3. Step 3: Cross multiply
    2,138.55x = 3,204.23 × 1,040.55
  4. Step 4: Simplify right side
    2,138.55x = 3,334,156.32
  5. Step 5: Solve for x
    x = 3,334,156.32/2,138.55
  6. Step 6: Final answer
    x = 1,559.07

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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.