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Finding the Fourth Proportional to 1,692.14, 2,335.15 and 984.40

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Solution

The fourth proportional to 1,692.14, 2,335.15 and 984.40 is: 1,358.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.14 : 2,335.15 = 984.40 : x
  2. Step 2: Convert to fraction form
    1,692.14/2,335.15 = 984.40/x
  3. Step 3: Cross multiply
    1,692.14x = 2,335.15 × 984.40
  4. Step 4: Simplify right side
    1,692.14x = 2,298,717.05
  5. Step 5: Solve for x
    x = 2,298,717.05/1,692.14
  6. Step 6: Final answer
    x = 1,358.47

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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.