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Finding the Fourth Proportional to 3,256.05, 4,884.36 and 1,065

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Solution

The fourth proportional to 3,256.05, 4,884.36 and 1,065 is: 1,597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.05 : 4,884.36 = 1,065 : x
  2. Step 2: Convert to fraction form
    3,256.05/4,884.36 = 1,065/x
  3. Step 3: Cross multiply
    3,256.05x = 4,884.36 × 1,065
  4. Step 4: Simplify right side
    3,256.05x = 5,201,843.40
  5. Step 5: Solve for x
    x = 5,201,843.40/3,256.05
  6. Step 6: Final answer
    x = 1,597.59

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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.