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Finding the Fourth Proportional to 3,283.34, 4,530.32 and 1,920.34

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Solution

The fourth proportional to 3,283.34, 4,530.32 and 1,920.34 is: 2,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.34 : 4,530.32 = 1,920.34 : x
  2. Step 2: Convert to fraction form
    3,283.34/4,530.32 = 1,920.34/x
  3. Step 3: Cross multiply
    3,283.34x = 4,530.32 × 1,920.34
  4. Step 4: Simplify right side
    3,283.34x = 8,699,768.77
  5. Step 5: Solve for x
    x = 8,699,768.77/3,283.34
  6. Step 6: Final answer
    x = 2,649.67

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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.