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Finding the Fourth Proportional to 1,784.97, 2,464.62 and 1,391.31

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Solution

The fourth proportional to 1,784.97, 2,464.62 and 1,391.31 is: 1,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.97 : 2,464.62 = 1,391.31 : x
  2. Step 2: Convert to fraction form
    1,784.97/2,464.62 = 1,391.31/x
  3. Step 3: Cross multiply
    1,784.97x = 2,464.62 × 1,391.31
  4. Step 4: Simplify right side
    1,784.97x = 3,429,050.45
  5. Step 5: Solve for x
    x = 3,429,050.45/1,784.97
  6. Step 6: Final answer
    x = 1,921.07

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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.