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Finding the Fourth Proportional to 2,037, 2,813.72 and 1,506.96

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Solution

The fourth proportional to 2,037, 2,813.72 and 1,506.96 is: 2,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 2,813.72 = 1,506.96 : x
  2. Step 2: Convert to fraction form
    2,037/2,813.72 = 1,506.96/x
  3. Step 3: Cross multiply
    2,037x = 2,813.72 × 1,506.96
  4. Step 4: Simplify right side
    2,037x = 4,240,163.49
  5. Step 5: Solve for x
    x = 4,240,163.49/2,037
  6. Step 6: Final answer
    x = 2,081.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.