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Finding the Fourth Proportional to 2,044.96, 3,064.68 and 1,314.16

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Solution

The fourth proportional to 2,044.96, 3,064.68 and 1,314.16 is: 1,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.96 : 3,064.68 = 1,314.16 : x
  2. Step 2: Convert to fraction form
    2,044.96/3,064.68 = 1,314.16/x
  3. Step 3: Cross multiply
    2,044.96x = 3,064.68 × 1,314.16
  4. Step 4: Simplify right side
    2,044.96x = 4,027,479.87
  5. Step 5: Solve for x
    x = 4,027,479.87/2,044.96
  6. Step 6: Final answer
    x = 1,969.47

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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.