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Finding the Fourth Proportional to 3,003.71, 4,145.31 and 1,677.60

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Solution

The fourth proportional to 3,003.71, 4,145.31 and 1,677.60 is: 2,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.71 : 4,145.31 = 1,677.60 : x
  2. Step 2: Convert to fraction form
    3,003.71/4,145.31 = 1,677.60/x
  3. Step 3: Cross multiply
    3,003.71x = 4,145.31 × 1,677.60
  4. Step 4: Simplify right side
    3,003.71x = 6,954,172.06
  5. Step 5: Solve for x
    x = 6,954,172.06/3,003.71
  6. Step 6: Final answer
    x = 2,315.20

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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.