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Finding the Fourth Proportional to 1,692.09, 2,332.85 and 1,219.59

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Solution

The fourth proportional to 1,692.09, 2,332.85 and 1,219.59 is: 1,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.09 : 2,332.85 = 1,219.59 : x
  2. Step 2: Convert to fraction form
    1,692.09/2,332.85 = 1,219.59/x
  3. Step 3: Cross multiply
    1,692.09x = 2,332.85 × 1,219.59
  4. Step 4: Simplify right side
    1,692.09x = 2,845,114.43
  5. Step 5: Solve for x
    x = 2,845,114.43/1,692.09
  6. Step 6: Final answer
    x = 1,681.42

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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.