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Finding the Fourth Proportional to 1,894.62, 2,841.96 and 526.62

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Solution

The fourth proportional to 1,894.62, 2,841.96 and 526.62 is: 789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.62 : 2,841.96 = 526.62 : x
  2. Step 2: Convert to fraction form
    1,894.62/2,841.96 = 526.62/x
  3. Step 3: Cross multiply
    1,894.62x = 2,841.96 × 526.62
  4. Step 4: Simplify right side
    1,894.62x = 1,496,632.98
  5. Step 5: Solve for x
    x = 1,496,632.98/1,894.62
  6. Step 6: Final answer
    x = 789.94

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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.