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Finding the Fourth Proportional to 3,146.28, 4,719.42 and 837.78

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Solution

The fourth proportional to 3,146.28, 4,719.42 and 837.78 is: 1,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.28 : 4,719.42 = 837.78 : x
  2. Step 2: Convert to fraction form
    3,146.28/4,719.42 = 837.78/x
  3. Step 3: Cross multiply
    3,146.28x = 4,719.42 × 837.78
  4. Step 4: Simplify right side
    3,146.28x = 3,953,835.69
  5. Step 5: Solve for x
    x = 3,953,835.69/3,146.28
  6. Step 6: Final answer
    x = 1,256.67

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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.