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Finding the Fourth Proportional to 3,275.34, 4,519.99 and 1,783.25

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Solution

The fourth proportional to 3,275.34, 4,519.99 and 1,783.25 is: 2,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.34 : 4,519.99 = 1,783.25 : x
  2. Step 2: Convert to fraction form
    3,275.34/4,519.99 = 1,783.25/x
  3. Step 3: Cross multiply
    3,275.34x = 4,519.99 × 1,783.25
  4. Step 4: Simplify right side
    3,275.34x = 8,060,268.75
  5. Step 5: Solve for x
    x = 8,060,268.75/3,275.34
  6. Step 6: Final answer
    x = 2,460.90

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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.