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Finding the Fourth Proportional to 3,134.61, 4,692.68 and 2,316.54

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Solution

The fourth proportional to 3,134.61, 4,692.68 and 2,316.54 is: 3,467.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.61 : 4,692.68 = 2,316.54 : x
  2. Step 2: Convert to fraction form
    3,134.61/4,692.68 = 2,316.54/x
  3. Step 3: Cross multiply
    3,134.61x = 4,692.68 × 2,316.54
  4. Step 4: Simplify right side
    3,134.61x = 10,870,780.93
  5. Step 5: Solve for x
    x = 10,870,780.93/3,134.61
  6. Step 6: Final answer
    x = 3,467.99

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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.