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Finding the Fourth Proportional to 1,799.49, 2,468.38 and 1,783.90

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Solution

The fourth proportional to 1,799.49, 2,468.38 and 1,783.90 is: 2,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.49 : 2,468.38 = 1,783.90 : x
  2. Step 2: Convert to fraction form
    1,799.49/2,468.38 = 1,783.90/x
  3. Step 3: Cross multiply
    1,799.49x = 2,468.38 × 1,783.90
  4. Step 4: Simplify right side
    1,799.49x = 4,403,343.08
  5. Step 5: Solve for x
    x = 4,403,343.08/1,799.49
  6. Step 6: Final answer
    x = 2,447.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.