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Finding the Fourth Proportional to 2,594.01, 3,890.82 and 646.21

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Solution

The fourth proportional to 2,594.01, 3,890.82 and 646.21 is: 969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.01 : 3,890.82 = 646.21 : x
  2. Step 2: Convert to fraction form
    2,594.01/3,890.82 = 646.21/x
  3. Step 3: Cross multiply
    2,594.01x = 3,890.82 × 646.21
  4. Step 4: Simplify right side
    2,594.01x = 2,514,286.79
  5. Step 5: Solve for x
    x = 2,514,286.79/2,594.01
  6. Step 6: Final answer
    x = 969.27

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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.