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Finding the Fourth Proportional to 2,715.57, 4,073.36 and 1,419.57

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Solution

The fourth proportional to 2,715.57, 4,073.36 and 1,419.57 is: 2,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.57 : 4,073.36 = 1,419.57 : x
  2. Step 2: Convert to fraction form
    2,715.57/4,073.36 = 1,419.57/x
  3. Step 3: Cross multiply
    2,715.57x = 4,073.36 × 1,419.57
  4. Step 4: Simplify right side
    2,715.57x = 5,782,412.56
  5. Step 5: Solve for x
    x = 5,782,412.56/2,715.57
  6. Step 6: Final answer
    x = 2,129.36

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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.