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Finding the Fourth Proportional to 1,627.53, 2,438.04 and 977.91

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Solution

The fourth proportional to 1,627.53, 2,438.04 and 977.91 is: 1,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.53 : 2,438.04 = 977.91 : x
  2. Step 2: Convert to fraction form
    1,627.53/2,438.04 = 977.91/x
  3. Step 3: Cross multiply
    1,627.53x = 2,438.04 × 977.91
  4. Step 4: Simplify right side
    1,627.53x = 2,384,183.70
  5. Step 5: Solve for x
    x = 2,384,183.70/1,627.53
  6. Step 6: Final answer
    x = 1,464.91

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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.