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Finding the Fourth Proportional to 1,692.63, 2,335.37 and 984.15

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Solution

The fourth proportional to 1,692.63, 2,335.37 and 984.15 is: 1,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.63 : 2,335.37 = 984.15 : x
  2. Step 2: Convert to fraction form
    1,692.63/2,335.37 = 984.15/x
  3. Step 3: Cross multiply
    1,692.63x = 2,335.37 × 984.15
  4. Step 4: Simplify right side
    1,692.63x = 2,298,349.46
  5. Step 5: Solve for x
    x = 2,298,349.46/1,692.63
  6. Step 6: Final answer
    x = 1,357.86

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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.