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Finding the Fourth Proportional to 2,572.48, 3,861.42 and 1,419.04

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Solution

The fourth proportional to 2,572.48, 3,861.42 and 1,419.04 is: 2,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.48 : 3,861.42 = 1,419.04 : x
  2. Step 2: Convert to fraction form
    2,572.48/3,861.42 = 1,419.04/x
  3. Step 3: Cross multiply
    2,572.48x = 3,861.42 × 1,419.04
  4. Step 4: Simplify right side
    2,572.48x = 5,479,509.44
  5. Step 5: Solve for x
    x = 5,479,509.44/2,572.48
  6. Step 6: Final answer
    x = 2,130.05

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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.