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Finding the Fourth Proportional to 2,160.84, 3,241.68 and 1,065.12

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Solution

The fourth proportional to 2,160.84, 3,241.68 and 1,065.12 is: 1,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.84 : 3,241.68 = 1,065.12 : x
  2. Step 2: Convert to fraction form
    2,160.84/3,241.68 = 1,065.12/x
  3. Step 3: Cross multiply
    2,160.84x = 3,241.68 × 1,065.12
  4. Step 4: Simplify right side
    2,160.84x = 3,452,778.20
  5. Step 5: Solve for x
    x = 3,452,778.20/2,160.84
  6. Step 6: Final answer
    x = 1,597.89

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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.