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Finding the Fourth Proportional to 2,289.74, 3,434.24 and 646.40

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Solution

The fourth proportional to 2,289.74, 3,434.24 and 646.40 is: 969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.74 : 3,434.24 = 646.40 : x
  2. Step 2: Convert to fraction form
    2,289.74/3,434.24 = 646.40/x
  3. Step 3: Cross multiply
    2,289.74x = 3,434.24 × 646.40
  4. Step 4: Simplify right side
    2,289.74x = 2,219,872.33
  5. Step 5: Solve for x
    x = 2,219,872.33/2,289.74
  6. Step 6: Final answer
    x = 969.49

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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.