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Finding the Fourth Proportional to 3,026.63, 4,537.22 and 1,078.38

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Solution

The fourth proportional to 3,026.63, 4,537.22 and 1,078.38 is: 1,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.63 : 4,537.22 = 1,078.38 : x
  2. Step 2: Convert to fraction form
    3,026.63/4,537.22 = 1,078.38/x
  3. Step 3: Cross multiply
    3,026.63x = 4,537.22 × 1,078.38
  4. Step 4: Simplify right side
    3,026.63x = 4,892,841.91
  5. Step 5: Solve for x
    x = 4,892,841.91/3,026.63
  6. Step 6: Final answer
    x = 1,616.60

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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.