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Finding the Fourth Proportional to 2,289.77, 3,434.76 and 646.43

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Solution

The fourth proportional to 2,289.77, 3,434.76 and 646.43 is: 969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.77 : 3,434.76 = 646.43 : x
  2. Step 2: Convert to fraction form
    2,289.77/3,434.76 = 646.43/x
  3. Step 3: Cross multiply
    2,289.77x = 3,434.76 × 646.43
  4. Step 4: Simplify right side
    2,289.77x = 2,220,314.73
  5. Step 5: Solve for x
    x = 2,220,314.73/2,289.77
  6. Step 6: Final answer
    x = 969.67

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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.