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Finding the Fourth Proportional to 4,692.12, 7,032.42 and 1,610.52

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Solution

The fourth proportional to 4,692.12, 7,032.42 and 1,610.52 is: 2,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.12 : 7,032.42 = 1,610.52 : x
  2. Step 2: Convert to fraction form
    4,692.12/7,032.42 = 1,610.52/x
  3. Step 3: Cross multiply
    4,692.12x = 7,032.42 × 1,610.52
  4. Step 4: Simplify right side
    4,692.12x = 11,325,853.06
  5. Step 5: Solve for x
    x = 11,325,853.06/4,692.12
  6. Step 6: Final answer
    x = 2,413.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.