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Finding the Fourth Proportional to 1,824.92, 2,517.77 and 1,038.77

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Solution

The fourth proportional to 1,824.92, 2,517.77 and 1,038.77 is: 1,433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.92 : 2,517.77 = 1,038.77 : x
  2. Step 2: Convert to fraction form
    1,824.92/2,517.77 = 1,038.77/x
  3. Step 3: Cross multiply
    1,824.92x = 2,517.77 × 1,038.77
  4. Step 4: Simplify right side
    1,824.92x = 2,615,378.75
  5. Step 5: Solve for x
    x = 2,615,378.75/1,824.92
  6. Step 6: Final answer
    x = 1,433.15

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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.