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Finding the Fourth Proportional to 2,171.53, 3,256.99 and 784.67

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Solution

The fourth proportional to 2,171.53, 3,256.99 and 784.67 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.53 : 3,256.99 = 784.67 : x
  2. Step 2: Convert to fraction form
    2,171.53/3,256.99 = 784.67/x
  3. Step 3: Cross multiply
    2,171.53x = 3,256.99 × 784.67
  4. Step 4: Simplify right side
    2,171.53x = 2,555,668.52
  5. Step 5: Solve for x
    x = 2,555,668.52/2,171.53
  6. Step 6: Final answer
    x = 1,176.90

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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.