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Finding the Fourth Proportional to 3,045.69, 4,568.12 and 1,314.09

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Solution

The fourth proportional to 3,045.69, 4,568.12 and 1,314.09 is: 1,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.69 : 4,568.12 = 1,314.09 : x
  2. Step 2: Convert to fraction form
    3,045.69/4,568.12 = 1,314.09/x
  3. Step 3: Cross multiply
    3,045.69x = 4,568.12 × 1,314.09
  4. Step 4: Simplify right side
    3,045.69x = 6,002,914.24
  5. Step 5: Solve for x
    x = 6,002,914.24/3,045.69
  6. Step 6: Final answer
    x = 1,970.95

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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.