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Finding the Fourth Proportional to 3,137.90, 4,706.82 and 829.40

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Solution

The fourth proportional to 3,137.90, 4,706.82 and 829.40 is: 1,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.90 : 4,706.82 = 829.40 : x
  2. Step 2: Convert to fraction form
    3,137.90/4,706.82 = 829.40/x
  3. Step 3: Cross multiply
    3,137.90x = 4,706.82 × 829.40
  4. Step 4: Simplify right side
    3,137.90x = 3,903,836.51
  5. Step 5: Solve for x
    x = 3,903,836.51/3,137.90
  6. Step 6: Final answer
    x = 1,244.09

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1.5x scale

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.