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Finding the Fourth Proportional to 1,692.43, 2,335.33 and 946.36

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Solution

The fourth proportional to 1,692.43, 2,335.33 and 946.36 is: 1,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.43 : 2,335.33 = 946.36 : x
  2. Step 2: Convert to fraction form
    1,692.43/2,335.33 = 946.36/x
  3. Step 3: Cross multiply
    1,692.43x = 2,335.33 × 946.36
  4. Step 4: Simplify right side
    1,692.43x = 2,210,062.90
  5. Step 5: Solve for x
    x = 2,210,062.90/1,692.43
  6. Step 6: Final answer
    x = 1,305.85

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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.