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Finding the Fourth Proportional to 3,302.85, 4,954.10 and 837.71

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Solution

The fourth proportional to 3,302.85, 4,954.10 and 837.71 is: 1,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.85 : 4,954.10 = 837.71 : x
  2. Step 2: Convert to fraction form
    3,302.85/4,954.10 = 837.71/x
  3. Step 3: Cross multiply
    3,302.85x = 4,954.10 × 837.71
  4. Step 4: Simplify right side
    3,302.85x = 4,150,099.11
  5. Step 5: Solve for x
    x = 4,150,099.11/3,302.85
  6. Step 6: Final answer
    x = 1,256.52

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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.