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Finding the Fourth Proportional to 3,480.14, 4,802 and 2,300.78

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Solution

The fourth proportional to 3,480.14, 4,802 and 2,300.78 is: 3,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.14 : 4,802 = 2,300.78 : x
  2. Step 2: Convert to fraction form
    3,480.14/4,802 = 2,300.78/x
  3. Step 3: Cross multiply
    3,480.14x = 4,802 × 2,300.78
  4. Step 4: Simplify right side
    3,480.14x = 11,048,345.56
  5. Step 5: Solve for x
    x = 11,048,345.56/3,480.14
  6. Step 6: Final answer
    x = 3,174.68

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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.