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Finding the Fourth Proportional to 3,161.36, 4,742.60 and 970.04

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Solution

The fourth proportional to 3,161.36, 4,742.60 and 970.04 is: 1,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.36 : 4,742.60 = 970.04 : x
  2. Step 2: Convert to fraction form
    3,161.36/4,742.60 = 970.04/x
  3. Step 3: Cross multiply
    3,161.36x = 4,742.60 × 970.04
  4. Step 4: Simplify right side
    3,161.36x = 4,600,511.70
  5. Step 5: Solve for x
    x = 4,600,511.70/3,161.36
  6. Step 6: Final answer
    x = 1,455.23

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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.