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Finding the Fourth Proportional to 2,308.14, 3,474.54 and 2,070

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Solution

The fourth proportional to 2,308.14, 3,474.54 and 2,070 is: 3,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.14 : 3,474.54 = 2,070 : x
  2. Step 2: Convert to fraction form
    2,308.14/3,474.54 = 2,070/x
  3. Step 3: Cross multiply
    2,308.14x = 3,474.54 × 2,070
  4. Step 4: Simplify right side
    2,308.14x = 7,192,297.80
  5. Step 5: Solve for x
    x = 7,192,297.80/2,308.14
  6. Step 6: Final answer
    x = 3,116.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.