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Finding the Fourth Proportional to 3,164.34, 4,369.08 and 2,045.91

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Solution

The fourth proportional to 3,164.34, 4,369.08 and 2,045.91 is: 2,824.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.34 : 4,369.08 = 2,045.91 : x
  2. Step 2: Convert to fraction form
    3,164.34/4,369.08 = 2,045.91/x
  3. Step 3: Cross multiply
    3,164.34x = 4,369.08 × 2,045.91
  4. Step 4: Simplify right side
    3,164.34x = 8,938,744.46
  5. Step 5: Solve for x
    x = 8,938,744.46/3,164.34
  6. Step 6: Final answer
    x = 2,824.84

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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.