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Finding the Fourth Proportional to 2,809.47, 4,214.82 and 861.63

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Solution

The fourth proportional to 2,809.47, 4,214.82 and 861.63 is: 1,292.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.47 : 4,214.82 = 861.63 : x
  2. Step 2: Convert to fraction form
    2,809.47/4,214.82 = 861.63/x
  3. Step 3: Cross multiply
    2,809.47x = 4,214.82 × 861.63
  4. Step 4: Simplify right side
    2,809.47x = 3,631,615.36
  5. Step 5: Solve for x
    x = 3,631,615.36/2,809.47
  6. Step 6: Final answer
    x = 1,292.63

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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.