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Finding the Fourth Proportional to 1,894.98, 2,841.69 and 1,116.55

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Solution

The fourth proportional to 1,894.98, 2,841.69 and 1,116.55 is: 1,674.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.98 : 2,841.69 = 1,116.55 : x
  2. Step 2: Convert to fraction form
    1,894.98/2,841.69 = 1,116.55/x
  3. Step 3: Cross multiply
    1,894.98x = 2,841.69 × 1,116.55
  4. Step 4: Simplify right side
    1,894.98x = 3,172,874.76
  5. Step 5: Solve for x
    x = 3,172,874.76/1,894.98
  6. Step 6: Final answer
    x = 1,674.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.