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Finding the Fourth Proportional to 2,513.81, 3,770.72 and 1,419.10

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Solution

The fourth proportional to 2,513.81, 3,770.72 and 1,419.10 is: 2,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.81 : 3,770.72 = 1,419.10 : x
  2. Step 2: Convert to fraction form
    2,513.81/3,770.72 = 1,419.10/x
  3. Step 3: Cross multiply
    2,513.81x = 3,770.72 × 1,419.10
  4. Step 4: Simplify right side
    2,513.81x = 5,351,002.80
  5. Step 5: Solve for x
    x = 5,351,002.80/2,513.81
  6. Step 6: Final answer
    x = 2,128.64

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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.