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Finding the Fourth Proportional to 2,513.81, 3,773.01 and 1,282.07

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Solution

The fourth proportional to 2,513.81, 3,773.01 and 1,282.07 is: 1,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.81 : 3,773.01 = 1,282.07 : x
  2. Step 2: Convert to fraction form
    2,513.81/3,773.01 = 1,282.07/x
  3. Step 3: Cross multiply
    2,513.81x = 3,773.01 × 1,282.07
  4. Step 4: Simplify right side
    2,513.81x = 4,837,244.07
  5. Step 5: Solve for x
    x = 4,837,244.07/2,513.81
  6. Step 6: Final answer
    x = 1,924.27

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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.