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Finding the Fourth Proportional to 2,893.97, 4,341.65 and 813.96

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Solution

The fourth proportional to 2,893.97, 4,341.65 and 813.96 is: 1,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.97 : 4,341.65 = 813.96 : x
  2. Step 2: Convert to fraction form
    2,893.97/4,341.65 = 813.96/x
  3. Step 3: Cross multiply
    2,893.97x = 4,341.65 × 813.96
  4. Step 4: Simplify right side
    2,893.97x = 3,533,929.43
  5. Step 5: Solve for x
    x = 3,533,929.43/2,893.97
  6. Step 6: Final answer
    x = 1,221.14

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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.