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Finding the Fourth Proportional to 3,161.35, 4,741.84 and 970.07

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Solution

The fourth proportional to 3,161.35, 4,741.84 and 970.07 is: 1,455.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.35 : 4,741.84 = 970.07 : x
  2. Step 2: Convert to fraction form
    3,161.35/4,741.84 = 970.07/x
  3. Step 3: Cross multiply
    3,161.35x = 4,741.84 × 970.07
  4. Step 4: Simplify right side
    3,161.35x = 4,599,916.73
  5. Step 5: Solve for x
    x = 4,599,916.73/3,161.35
  6. Step 6: Final answer
    x = 1,455.05

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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.