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Finding the Fourth Proportional to 2,106.02, 3,158.21 and 624.85

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Solution

The fourth proportional to 2,106.02, 3,158.21 and 624.85 is: 937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.02 : 3,158.21 = 624.85 : x
  2. Step 2: Convert to fraction form
    2,106.02/3,158.21 = 624.85/x
  3. Step 3: Cross multiply
    2,106.02x = 3,158.21 × 624.85
  4. Step 4: Simplify right side
    2,106.02x = 1,973,401.19
  5. Step 5: Solve for x
    x = 1,973,401.19/2,106.02
  6. Step 6: Final answer
    x = 937.03

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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.