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Finding the Fourth Proportional to 2,161.58, 3,240.86 and 1,065.69

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Solution

The fourth proportional to 2,161.58, 3,240.86 and 1,065.69 is: 1,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.58 : 3,240.86 = 1,065.69 : x
  2. Step 2: Convert to fraction form
    2,161.58/3,240.86 = 1,065.69/x
  3. Step 3: Cross multiply
    2,161.58x = 3,240.86 × 1,065.69
  4. Step 4: Simplify right side
    2,161.58x = 3,453,746.76
  5. Step 5: Solve for x
    x = 3,453,746.76/2,161.58
  6. Step 6: Final answer
    x = 1,597.79

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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.