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Finding the Fourth Proportional to 2,572.12, 3,857.23 and 928.23

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Solution

The fourth proportional to 2,572.12, 3,857.23 and 928.23 is: 1,392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.12 : 3,857.23 = 928.23 : x
  2. Step 2: Convert to fraction form
    2,572.12/3,857.23 = 928.23/x
  3. Step 3: Cross multiply
    2,572.12x = 3,857.23 × 928.23
  4. Step 4: Simplify right side
    2,572.12x = 3,580,396.60
  5. Step 5: Solve for x
    x = 3,580,396.60/2,572.12
  6. Step 6: Final answer
    x = 1,392.00

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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.