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Finding the Fourth Proportional to 1,895.27, 2,841.91 and 893.57

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Solution

The fourth proportional to 1,895.27, 2,841.91 and 893.57 is: 1,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.27 : 2,841.91 = 893.57 : x
  2. Step 2: Convert to fraction form
    1,895.27/2,841.91 = 893.57/x
  3. Step 3: Cross multiply
    1,895.27x = 2,841.91 × 893.57
  4. Step 4: Simplify right side
    1,895.27x = 2,539,429.08
  5. Step 5: Solve for x
    x = 2,539,429.08/1,895.27
  6. Step 6: Final answer
    x = 1,339.88

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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.