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Finding the Fourth Proportional to 2,800.14, 4,202.10 and 1,156.68

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Solution

The fourth proportional to 2,800.14, 4,202.10 and 1,156.68 is: 1,735.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.14 : 4,202.10 = 1,156.68 : x
  2. Step 2: Convert to fraction form
    2,800.14/4,202.10 = 1,156.68/x
  3. Step 3: Cross multiply
    2,800.14x = 4,202.10 × 1,156.68
  4. Step 4: Simplify right side
    2,800.14x = 4,860,485.03
  5. Step 5: Solve for x
    x = 4,860,485.03/2,800.14
  6. Step 6: Final answer
    x = 1,735.80

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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.