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Finding the Fourth Proportional to 2,800.29, 4,201.06 and 852.65

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Solution

The fourth proportional to 2,800.29, 4,201.06 and 852.65 is: 1,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.29 : 4,201.06 = 852.65 : x
  2. Step 2: Convert to fraction form
    2,800.29/4,201.06 = 852.65/x
  3. Step 3: Cross multiply
    2,800.29x = 4,201.06 × 852.65
  4. Step 4: Simplify right side
    2,800.29x = 3,582,033.81
  5. Step 5: Solve for x
    x = 3,582,033.81/2,800.29
  6. Step 6: Final answer
    x = 1,279.17

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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.