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Finding the Fourth Proportional to 2,037, 3,054.06 and 1,452

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Solution

The fourth proportional to 2,037, 3,054.06 and 1,452 is: 2,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 3,054.06 = 1,452 : x
  2. Step 2: Convert to fraction form
    2,037/3,054.06 = 1,452/x
  3. Step 3: Cross multiply
    2,037x = 3,054.06 × 1,452
  4. Step 4: Simplify right side
    2,037x = 4,434,495.12
  5. Step 5: Solve for x
    x = 4,434,495.12/2,037
  6. Step 6: Final answer
    x = 2,176.97

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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.