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Finding the Fourth Proportional to 2,800.46, 4,199.60 and 1,156.56

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Solution

The fourth proportional to 2,800.46, 4,199.60 and 1,156.56 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.46 : 4,199.60 = 1,156.56 : x
  2. Step 2: Convert to fraction form
    2,800.46/4,199.60 = 1,156.56/x
  3. Step 3: Cross multiply
    2,800.46x = 4,199.60 × 1,156.56
  4. Step 4: Simplify right side
    2,800.46x = 4,857,089.38
  5. Step 5: Solve for x
    x = 4,857,089.38/2,800.46
  6. Step 6: Final answer
    x = 1,734.39

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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.