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Finding the Fourth Proportional to 1,383.89, 2,075.96 and 835.25

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Solution

The fourth proportional to 1,383.89, 2,075.96 and 835.25 is: 1,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.89 : 2,075.96 = 835.25 : x
  2. Step 2: Convert to fraction form
    1,383.89/2,075.96 = 835.25/x
  3. Step 3: Cross multiply
    1,383.89x = 2,075.96 × 835.25
  4. Step 4: Simplify right side
    1,383.89x = 1,733,937.30
  5. Step 5: Solve for x
    x = 1,733,937.30/1,383.89
  6. Step 6: Final answer
    x = 1,252.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.