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Finding the Fourth Proportional to 1,986.62, 2,977.67 and 1,544.58

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Solution

The fourth proportional to 1,986.62, 2,977.67 and 1,544.58 is: 2,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.62 : 2,977.67 = 1,544.58 : x
  2. Step 2: Convert to fraction form
    1,986.62/2,977.67 = 1,544.58/x
  3. Step 3: Cross multiply
    1,986.62x = 2,977.67 × 1,544.58
  4. Step 4: Simplify right side
    1,986.62x = 4,599,241.81
  5. Step 5: Solve for x
    x = 4,599,241.81/1,986.62
  6. Step 6: Final answer
    x = 2,315.11

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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.