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Finding the Fourth Proportional to 2,870.80, 3,962.46 and 1,692.25

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Solution

The fourth proportional to 2,870.80, 3,962.46 and 1,692.25 is: 2,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.80 : 3,962.46 = 1,692.25 : x
  2. Step 2: Convert to fraction form
    2,870.80/3,962.46 = 1,692.25/x
  3. Step 3: Cross multiply
    2,870.80x = 3,962.46 × 1,692.25
  4. Step 4: Simplify right side
    2,870.80x = 6,705,472.94
  5. Step 5: Solve for x
    x = 6,705,472.94/2,870.80
  6. Step 6: Final answer
    x = 2,335.75

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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.