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Finding the Fourth Proportional to 1,824.92, 2,518.25 and 1,038.81

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Solution

The fourth proportional to 1,824.92, 2,518.25 and 1,038.81 is: 1,433.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.92 : 2,518.25 = 1,038.81 : x
  2. Step 2: Convert to fraction form
    1,824.92/2,518.25 = 1,038.81/x
  3. Step 3: Cross multiply
    1,824.92x = 2,518.25 × 1,038.81
  4. Step 4: Simplify right side
    1,824.92x = 2,615,983.28
  5. Step 5: Solve for x
    x = 2,615,983.28/1,824.92
  6. Step 6: Final answer
    x = 1,433.48

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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.