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Finding the Fourth Proportional to 2,809.26, 4,214.56 and 861.46

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Solution

The fourth proportional to 2,809.26, 4,214.56 and 861.46 is: 1,292.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.26 : 4,214.56 = 861.46 : x
  2. Step 2: Convert to fraction form
    2,809.26/4,214.56 = 861.46/x
  3. Step 3: Cross multiply
    2,809.26x = 4,214.56 × 861.46
  4. Step 4: Simplify right side
    2,809.26x = 3,630,674.86
  5. Step 5: Solve for x
    x = 3,630,674.86/2,809.26
  6. Step 6: Final answer
    x = 1,292.40

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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.