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Finding the Fourth Proportional to 2,289.92, 3,434.87 and 646.47

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Solution

The fourth proportional to 2,289.92, 3,434.87 and 646.47 is: 969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.92 : 3,434.87 = 646.47 : x
  2. Step 2: Convert to fraction form
    2,289.92/3,434.87 = 646.47/x
  3. Step 3: Cross multiply
    2,289.92x = 3,434.87 × 646.47
  4. Step 4: Simplify right side
    2,289.92x = 2,220,540.41
  5. Step 5: Solve for x
    x = 2,220,540.41/2,289.92
  6. Step 6: Final answer
    x = 969.70

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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.