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Finding the Fourth Proportional to 3,415.40, 5,123.04 and 1,106.90

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Solution

The fourth proportional to 3,415.40, 5,123.04 and 1,106.90 is: 1,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.40 : 5,123.04 = 1,106.90 : x
  2. Step 2: Convert to fraction form
    3,415.40/5,123.04 = 1,106.90/x
  3. Step 3: Cross multiply
    3,415.40x = 5,123.04 × 1,106.90
  4. Step 4: Simplify right side
    3,415.40x = 5,670,692.98
  5. Step 5: Solve for x
    x = 5,670,692.98/3,415.40
  6. Step 6: Final answer
    x = 1,660.33

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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.