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Finding the Fourth Proportional to 3,256.05, 4,884.01 and 790.89

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Solution

The fourth proportional to 3,256.05, 4,884.01 and 790.89 is: 1,186.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.05 : 4,884.01 = 790.89 : x
  2. Step 2: Convert to fraction form
    3,256.05/4,884.01 = 790.89/x
  3. Step 3: Cross multiply
    3,256.05x = 4,884.01 × 790.89
  4. Step 4: Simplify right side
    3,256.05x = 3,862,698.83
  5. Step 5: Solve for x
    x = 3,862,698.83/3,256.05
  6. Step 6: Final answer
    x = 1,186.31

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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.