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Finding the Fourth Proportional to 2,800.14, 4,200.72 and 1,155.78

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Solution

The fourth proportional to 2,800.14, 4,200.72 and 1,155.78 is: 1,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.14 : 4,200.72 = 1,155.78 : x
  2. Step 2: Convert to fraction form
    2,800.14/4,200.72 = 1,155.78/x
  3. Step 3: Cross multiply
    2,800.14x = 4,200.72 × 1,155.78
  4. Step 4: Simplify right side
    2,800.14x = 4,855,108.16
  5. Step 5: Solve for x
    x = 4,855,108.16/2,800.14
  6. Step 6: Final answer
    x = 1,733.88

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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.