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Finding the Fourth Proportional to 3,051.02, 4,576.68 and 859.91

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Solution

The fourth proportional to 3,051.02, 4,576.68 and 859.91 is: 1,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.02 : 4,576.68 = 859.91 : x
  2. Step 2: Convert to fraction form
    3,051.02/4,576.68 = 859.91/x
  3. Step 3: Cross multiply
    3,051.02x = 4,576.68 × 859.91
  4. Step 4: Simplify right side
    3,051.02x = 3,935,510.02
  5. Step 5: Solve for x
    x = 3,935,510.02/3,051.02
  6. Step 6: Final answer
    x = 1,289.90

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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.