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Finding the Fourth Proportional to 1,893.68, 2,841.30 and 854.18

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Solution

The fourth proportional to 1,893.68, 2,841.30 and 854.18 is: 1,281.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.68 : 2,841.30 = 854.18 : x
  2. Step 2: Convert to fraction form
    1,893.68/2,841.30 = 854.18/x
  3. Step 3: Cross multiply
    1,893.68x = 2,841.30 × 854.18
  4. Step 4: Simplify right side
    1,893.68x = 2,426,967.43
  5. Step 5: Solve for x
    x = 2,426,967.43/1,893.68
  6. Step 6: Final answer
    x = 1,281.62

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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.