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Finding the Fourth Proportional to 2,079.86, 3,118.90 and 692.82

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Solution

The fourth proportional to 2,079.86, 3,118.90 and 692.82 is: 1,038.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.86 : 3,118.90 = 692.82 : x
  2. Step 2: Convert to fraction form
    2,079.86/3,118.90 = 692.82/x
  3. Step 3: Cross multiply
    2,079.86x = 3,118.90 × 692.82
  4. Step 4: Simplify right side
    2,079.86x = 2,160,836.30
  5. Step 5: Solve for x
    x = 2,160,836.30/2,079.86
  6. Step 6: Final answer
    x = 1,038.93

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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.