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Finding the Fourth Proportional to 3,167.68, 4,368.96 and 2,047.84

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Solution

The fourth proportional to 3,167.68, 4,368.96 and 2,047.84 is: 2,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.68 : 4,368.96 = 2,047.84 : x
  2. Step 2: Convert to fraction form
    3,167.68/4,368.96 = 2,047.84/x
  3. Step 3: Cross multiply
    3,167.68x = 4,368.96 × 2,047.84
  4. Step 4: Simplify right side
    3,167.68x = 8,946,931.05
  5. Step 5: Solve for x
    x = 8,946,931.05/3,167.68
  6. Step 6: Final answer
    x = 2,824.44

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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.