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Finding the Fourth Proportional to 2,037.84, 3,056.70 and 651.26

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Solution

The fourth proportional to 2,037.84, 3,056.70 and 651.26 is: 976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.84 : 3,056.70 = 651.26 : x
  2. Step 2: Convert to fraction form
    2,037.84/3,056.70 = 651.26/x
  3. Step 3: Cross multiply
    2,037.84x = 3,056.70 × 651.26
  4. Step 4: Simplify right side
    2,037.84x = 1,990,706.44
  5. Step 5: Solve for x
    x = 1,990,706.44/2,037.84
  6. Step 6: Final answer
    x = 976.87

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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.