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Finding the Fourth Proportional to 3,040, 4,203.84 and 2,902.48

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Solution

The fourth proportional to 3,040, 4,203.84 and 2,902.48 is: 4,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040 : 4,203.84 = 2,902.48 : x
  2. Step 2: Convert to fraction form
    3,040/4,203.84 = 2,902.48/x
  3. Step 3: Cross multiply
    3,040x = 4,203.84 × 2,902.48
  4. Step 4: Simplify right side
    3,040x = 12,201,561.52
  5. Step 5: Solve for x
    x = 12,201,561.52/3,040
  6. Step 6: Final answer
    x = 4,013.67

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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.