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Finding the Fourth Proportional to 3,003.84, 4,145.27 and 1,677.65

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Solution

The fourth proportional to 3,003.84, 4,145.27 and 1,677.65 is: 2,315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.84 : 4,145.27 = 1,677.65 : x
  2. Step 2: Convert to fraction form
    3,003.84/4,145.27 = 1,677.65/x
  3. Step 3: Cross multiply
    3,003.84x = 4,145.27 × 1,677.65
  4. Step 4: Simplify right side
    3,003.84x = 6,954,283.10
  5. Step 5: Solve for x
    x = 6,954,283.10/3,003.84
  6. Step 6: Final answer
    x = 2,315.13

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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.