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Finding the Fourth Proportional to 3,003.64, 4,145.14 and 1,677.68

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Solution

The fourth proportional to 3,003.64, 4,145.14 and 1,677.68 is: 2,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.64 : 4,145.14 = 1,677.68 : x
  2. Step 2: Convert to fraction form
    3,003.64/4,145.14 = 1,677.68/x
  3. Step 3: Cross multiply
    3,003.64x = 4,145.14 × 1,677.68
  4. Step 4: Simplify right side
    3,003.64x = 6,954,218.48
  5. Step 5: Solve for x
    x = 6,954,218.48/3,003.64
  6. Step 6: Final answer
    x = 2,315.26

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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.