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Finding the Fourth Proportional to 1,813.64, 2,707.43 and 1,733.85

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Solution

The fourth proportional to 1,813.64, 2,707.43 and 1,733.85 is: 2,588.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.64 : 2,707.43 = 1,733.85 : x
  2. Step 2: Convert to fraction form
    1,813.64/2,707.43 = 1,733.85/x
  3. Step 3: Cross multiply
    1,813.64x = 2,707.43 × 1,733.85
  4. Step 4: Simplify right side
    1,813.64x = 4,694,268.84
  5. Step 5: Solve for x
    x = 4,694,268.84/1,813.64
  6. Step 6: Final answer
    x = 2,588.32

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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.