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Finding the Fourth Proportional to 3,109.54, 4,658.06 and 1,544.81

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Solution

The fourth proportional to 3,109.54, 4,658.06 and 1,544.81 is: 2,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.54 : 4,658.06 = 1,544.81 : x
  2. Step 2: Convert to fraction form
    3,109.54/4,658.06 = 1,544.81/x
  3. Step 3: Cross multiply
    3,109.54x = 4,658.06 × 1,544.81
  4. Step 4: Simplify right side
    3,109.54x = 7,195,817.67
  5. Step 5: Solve for x
    x = 7,195,817.67/3,109.54
  6. Step 6: Final answer
    x = 2,314.11

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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.