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Finding the Fourth Proportional to 2,850.34, 3,934.44 and 1,670.98

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Solution

The fourth proportional to 2,850.34, 3,934.44 and 1,670.98 is: 2,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.34 : 3,934.44 = 1,670.98 : x
  2. Step 2: Convert to fraction form
    2,850.34/3,934.44 = 1,670.98/x
  3. Step 3: Cross multiply
    2,850.34x = 3,934.44 × 1,670.98
  4. Step 4: Simplify right side
    2,850.34x = 6,574,370.55
  5. Step 5: Solve for x
    x = 6,574,370.55/2,850.34
  6. Step 6: Final answer
    x = 2,306.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.