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Finding the Fourth Proportional to 1,709.89, 2,566.46 and 844.81

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Solution

The fourth proportional to 1,709.89, 2,566.46 and 844.81 is: 1,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.89 : 2,566.46 = 844.81 : x
  2. Step 2: Convert to fraction form
    1,709.89/2,566.46 = 844.81/x
  3. Step 3: Cross multiply
    1,709.89x = 2,566.46 × 844.81
  4. Step 4: Simplify right side
    1,709.89x = 2,168,166.85
  5. Step 5: Solve for x
    x = 2,168,166.85/1,709.89
  6. Step 6: Final answer
    x = 1,268.02

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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.