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Finding the Fourth Proportional to 3,105.41, 4,658.79 and 1,025.87

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Solution

The fourth proportional to 3,105.41, 4,658.79 and 1,025.87 is: 1,539.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.41 : 4,658.79 = 1,025.87 : x
  2. Step 2: Convert to fraction form
    3,105.41/4,658.79 = 1,025.87/x
  3. Step 3: Cross multiply
    3,105.41x = 4,658.79 × 1,025.87
  4. Step 4: Simplify right side
    3,105.41x = 4,779,312.90
  5. Step 5: Solve for x
    x = 4,779,312.90/3,105.41
  6. Step 6: Final answer
    x = 1,539.03

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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.