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Finding the Fourth Proportional to 3,028.70, 4,545.10 and 1,642.49

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Solution

The fourth proportional to 3,028.70, 4,545.10 and 1,642.49 is: 2,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028.70 : 4,545.10 = 1,642.49 : x
  2. Step 2: Convert to fraction form
    3,028.70/4,545.10 = 1,642.49/x
  3. Step 3: Cross multiply
    3,028.70x = 4,545.10 × 1,642.49
  4. Step 4: Simplify right side
    3,028.70x = 7,465,254.47
  5. Step 5: Solve for x
    x = 7,465,254.47/3,028.70
  6. Step 6: Final answer
    x = 2,464.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.