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Finding the Fourth Proportional to 1,783.85, 2,464.07 and 1,369.32

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Solution

The fourth proportional to 1,783.85, 2,464.07 and 1,369.32 is: 1,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.85 : 2,464.07 = 1,369.32 : x
  2. Step 2: Convert to fraction form
    1,783.85/2,464.07 = 1,369.32/x
  3. Step 3: Cross multiply
    1,783.85x = 2,464.07 × 1,369.32
  4. Step 4: Simplify right side
    1,783.85x = 3,374,104.01
  5. Step 5: Solve for x
    x = 3,374,104.01/1,783.85
  6. Step 6: Final answer
    x = 1,891.47

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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.