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Finding the Fourth Proportional to 1,824.72, 2,517.86 and 1,038.68

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Solution

The fourth proportional to 1,824.72, 2,517.86 and 1,038.68 is: 1,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.72 : 2,517.86 = 1,038.68 : x
  2. Step 2: Convert to fraction form
    1,824.72/2,517.86 = 1,038.68/x
  3. Step 3: Cross multiply
    1,824.72x = 2,517.86 × 1,038.68
  4. Step 4: Simplify right side
    1,824.72x = 2,615,250.82
  5. Step 5: Solve for x
    x = 2,615,250.82/1,824.72
  6. Step 6: Final answer
    x = 1,433.23

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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.