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Finding the Fourth Proportional to 3,051.06, 4,576.62 and 859.83

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Solution

The fourth proportional to 3,051.06, 4,576.62 and 859.83 is: 1,289.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.06 : 4,576.62 = 859.83 : x
  2. Step 2: Convert to fraction form
    3,051.06/4,576.62 = 859.83/x
  3. Step 3: Cross multiply
    3,051.06x = 4,576.62 × 859.83
  4. Step 4: Simplify right side
    3,051.06x = 3,935,115.17
  5. Step 5: Solve for x
    x = 3,935,115.17/3,051.06
  6. Step 6: Final answer
    x = 1,289.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.