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Finding the Fourth Proportional to 3,069.75, 4,606.20 and 1,314.29

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Solution

The fourth proportional to 3,069.75, 4,606.20 and 1,314.29 is: 1,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.75 : 4,606.20 = 1,314.29 : x
  2. Step 2: Convert to fraction form
    3,069.75/4,606.20 = 1,314.29/x
  3. Step 3: Cross multiply
    3,069.75x = 4,606.20 × 1,314.29
  4. Step 4: Simplify right side
    3,069.75x = 6,053,894.11
  5. Step 5: Solve for x
    x = 6,053,894.11/3,069.75
  6. Step 6: Final answer
    x = 1,972.11

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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.