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Finding the Fourth Proportional to 2,723.60, 4,085.40 and 2,572.40

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Solution

The fourth proportional to 2,723.60, 4,085.40 and 2,572.40 is: 3,858.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.60 : 4,085.40 = 2,572.40 : x
  2. Step 2: Convert to fraction form
    2,723.60/4,085.40 = 2,572.40/x
  3. Step 3: Cross multiply
    2,723.60x = 4,085.40 × 2,572.40
  4. Step 4: Simplify right side
    2,723.60x = 10,509,282.96
  5. Step 5: Solve for x
    x = 10,509,282.96/2,723.60
  6. Step 6: Final answer
    x = 3,858.60

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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.