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Finding the Fourth Proportional to 2,160.66, 3,241.75 and 1,576.25

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Solution

The fourth proportional to 2,160.66, 3,241.75 and 1,576.25 is: 2,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.66 : 3,241.75 = 1,576.25 : x
  2. Step 2: Convert to fraction form
    2,160.66/3,241.75 = 1,576.25/x
  3. Step 3: Cross multiply
    2,160.66x = 3,241.75 × 1,576.25
  4. Step 4: Simplify right side
    2,160.66x = 5,109,808.44
  5. Step 5: Solve for x
    x = 5,109,808.44/2,160.66
  6. Step 6: Final answer
    x = 2,364.93

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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.