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Finding the Fourth Proportional to 2,605.10, 3,905.10 and 1,044.68

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Solution

The fourth proportional to 2,605.10, 3,905.10 and 1,044.68 is: 1,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.10 : 3,905.10 = 1,044.68 : x
  2. Step 2: Convert to fraction form
    2,605.10/3,905.10 = 1,044.68/x
  3. Step 3: Cross multiply
    2,605.10x = 3,905.10 × 1,044.68
  4. Step 4: Simplify right side
    2,605.10x = 4,079,579.87
  5. Step 5: Solve for x
    x = 4,079,579.87/2,605.10
  6. Step 6: Final answer
    x = 1,566.00

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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.