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Finding the Fourth Proportional to 3,105.79, 4,658.88 and 1,256.87

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Solution

The fourth proportional to 3,105.79, 4,658.88 and 1,256.87 is: 1,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.79 : 4,658.88 = 1,256.87 : x
  2. Step 2: Convert to fraction form
    3,105.79/4,658.88 = 1,256.87/x
  3. Step 3: Cross multiply
    3,105.79x = 4,658.88 × 1,256.87
  4. Step 4: Simplify right side
    3,105.79x = 5,855,606.51
  5. Step 5: Solve for x
    x = 5,855,606.51/3,105.79
  6. Step 6: Final answer
    x = 1,885.38

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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.