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Finding the Fourth Proportional to 1,814.64, 2,708.81 and 1,679.28

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Solution

The fourth proportional to 1,814.64, 2,708.81 and 1,679.28 is: 2,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.64 : 2,708.81 = 1,679.28 : x
  2. Step 2: Convert to fraction form
    1,814.64/2,708.81 = 1,679.28/x
  3. Step 3: Cross multiply
    1,814.64x = 2,708.81 × 1,679.28
  4. Step 4: Simplify right side
    1,814.64x = 4,548,842.06
  5. Step 5: Solve for x
    x = 4,548,842.06/1,814.64
  6. Step 6: Final answer
    x = 2,506.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.