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Finding the Fourth Proportional to 1,799.46, 2,684.04 and 1,744.80

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Solution

The fourth proportional to 1,799.46, 2,684.04 and 1,744.80 is: 2,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.46 : 2,684.04 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    1,799.46/2,684.04 = 1,744.80/x
  3. Step 3: Cross multiply
    1,799.46x = 2,684.04 × 1,744.80
  4. Step 4: Simplify right side
    1,799.46x = 4,683,112.99
  5. Step 5: Solve for x
    x = 4,683,112.99/1,799.46
  6. Step 6: Final answer
    x = 2,602.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.