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Finding the Fourth Proportional to 2,354.64, 3,244.93 and 1,690.35

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Solution

The fourth proportional to 2,354.64, 3,244.93 and 1,690.35 is: 2,329.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.64 : 3,244.93 = 1,690.35 : x
  2. Step 2: Convert to fraction form
    2,354.64/3,244.93 = 1,690.35/x
  3. Step 3: Cross multiply
    2,354.64x = 3,244.93 × 1,690.35
  4. Step 4: Simplify right side
    2,354.64x = 5,485,067.43
  5. Step 5: Solve for x
    x = 5,485,067.43/2,354.64
  6. Step 6: Final answer
    x = 2,329.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.