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Finding the Fourth Proportional to 1,825.71, 2,516.93 and 1,265.21

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Solution

The fourth proportional to 1,825.71, 2,516.93 and 1,265.21 is: 1,744.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.71 : 2,516.93 = 1,265.21 : x
  2. Step 2: Convert to fraction form
    1,825.71/2,516.93 = 1,265.21/x
  3. Step 3: Cross multiply
    1,825.71x = 2,516.93 × 1,265.21
  4. Step 4: Simplify right side
    1,825.71x = 3,184,445.01
  5. Step 5: Solve for x
    x = 3,184,445.01/1,825.71
  6. Step 6: Final answer
    x = 1,744.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.