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Finding the Fourth Proportional to 3,191.69, 4,404 and 1,775.34

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Solution

The fourth proportional to 3,191.69, 4,404 and 1,775.34 is: 2,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.69 : 4,404 = 1,775.34 : x
  2. Step 2: Convert to fraction form
    3,191.69/4,404 = 1,775.34/x
  3. Step 3: Cross multiply
    3,191.69x = 4,404 × 1,775.34
  4. Step 4: Simplify right side
    3,191.69x = 7,818,597.36
  5. Step 5: Solve for x
    x = 7,818,597.36/3,191.69
  6. Step 6: Final answer
    x = 2,449.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.