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Finding the Fourth Proportional to 2,513.16, 3,768.38 and 1,051.22

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Solution

The fourth proportional to 2,513.16, 3,768.38 and 1,051.22 is: 1,576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.16 : 3,768.38 = 1,051.22 : x
  2. Step 2: Convert to fraction form
    2,513.16/3,768.38 = 1,051.22/x
  3. Step 3: Cross multiply
    2,513.16x = 3,768.38 × 1,051.22
  4. Step 4: Simplify right side
    2,513.16x = 3,961,396.42
  5. Step 5: Solve for x
    x = 3,961,396.42/2,513.16
  6. Step 6: Final answer
    x = 1,576.26

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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.