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Finding the Fourth Proportional to 1,894.09, 2,841.16 and 595.56

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Solution

The fourth proportional to 1,894.09, 2,841.16 and 595.56 is: 893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.09 : 2,841.16 = 595.56 : x
  2. Step 2: Convert to fraction form
    1,894.09/2,841.16 = 595.56/x
  3. Step 3: Cross multiply
    1,894.09x = 2,841.16 × 595.56
  4. Step 4: Simplify right side
    1,894.09x = 1,692,065.55
  5. Step 5: Solve for x
    x = 1,692,065.55/1,894.09
  6. Step 6: Final answer
    x = 893.34

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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.