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Finding the Fourth Proportional to 2,050.06, 2,828.60 and 1,166.35

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Solution

The fourth proportional to 2,050.06, 2,828.60 and 1,166.35 is: 1,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.06 : 2,828.60 = 1,166.35 : x
  2. Step 2: Convert to fraction form
    2,050.06/2,828.60 = 1,166.35/x
  3. Step 3: Cross multiply
    2,050.06x = 2,828.60 × 1,166.35
  4. Step 4: Simplify right side
    2,050.06x = 3,299,131.10
  5. Step 5: Solve for x
    x = 3,299,131.10/2,050.06
  6. Step 6: Final answer
    x = 1,609.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.