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Finding the Fourth Proportional to 2,315.14, 3,473.23 and 854.30

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Solution

The fourth proportional to 2,315.14, 3,473.23 and 854.30 is: 1,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.14 : 3,473.23 = 854.30 : x
  2. Step 2: Convert to fraction form
    2,315.14/3,473.23 = 854.30/x
  3. Step 3: Cross multiply
    2,315.14x = 3,473.23 × 854.30
  4. Step 4: Simplify right side
    2,315.14x = 2,967,169.00
  5. Step 5: Solve for x
    x = 2,967,169.00/2,315.14
  6. Step 6: Final answer
    x = 1,281.63

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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.