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Finding the Fourth Proportional to 1,894.05, 2,841.12 and 595.62

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Solution

The fourth proportional to 1,894.05, 2,841.12 and 595.62 is: 893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.05 : 2,841.12 = 595.62 : x
  2. Step 2: Convert to fraction form
    1,894.05/2,841.12 = 595.62/x
  3. Step 3: Cross multiply
    1,894.05x = 2,841.12 × 595.62
  4. Step 4: Simplify right side
    1,894.05x = 1,692,227.89
  5. Step 5: Solve for x
    x = 1,692,227.89/1,894.05
  6. Step 6: Final answer
    x = 893.44

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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.