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Finding the Fourth Proportional to 3,026.94, 4,536.18 and 1,641.03

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Solution

The fourth proportional to 3,026.94, 4,536.18 and 1,641.03 is: 2,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.94 : 4,536.18 = 1,641.03 : x
  2. Step 2: Convert to fraction form
    3,026.94/4,536.18 = 1,641.03/x
  3. Step 3: Cross multiply
    3,026.94x = 4,536.18 × 1,641.03
  4. Step 4: Simplify right side
    3,026.94x = 7,444,007.47
  5. Step 5: Solve for x
    x = 7,444,007.47/3,026.94
  6. Step 6: Final answer
    x = 2,459.25

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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.