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Finding the Fourth Proportional to 2,703.39, 4,048.78 and 2,082.16

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Solution

The fourth proportional to 2,703.39, 4,048.78 and 2,082.16 is: 3,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.39 : 4,048.78 = 2,082.16 : x
  2. Step 2: Convert to fraction form
    2,703.39/4,048.78 = 2,082.16/x
  3. Step 3: Cross multiply
    2,703.39x = 4,048.78 × 2,082.16
  4. Step 4: Simplify right side
    2,703.39x = 8,430,207.76
  5. Step 5: Solve for x
    x = 8,430,207.76/2,703.39
  6. Step 6: Final answer
    x = 3,118.38

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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.