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Finding the Fourth Proportional to 2,289.91, 3,434.79 and 646.42

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Solution

The fourth proportional to 2,289.91, 3,434.79 and 646.42 is: 969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.91 : 3,434.79 = 646.42 : x
  2. Step 2: Convert to fraction form
    2,289.91/3,434.79 = 646.42/x
  3. Step 3: Cross multiply
    2,289.91x = 3,434.79 × 646.42
  4. Step 4: Simplify right side
    2,289.91x = 2,220,316.95
  5. Step 5: Solve for x
    x = 2,220,316.95/2,289.91
  6. Step 6: Final answer
    x = 969.61

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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.