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Finding the Fourth Proportional to 2,627.96, 3,939.55 and 1,312.12

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Solution

The fourth proportional to 2,627.96, 3,939.55 and 1,312.12 is: 1,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,627.96 : 3,939.55 = 1,312.12 : x
  2. Step 2: Convert to fraction form
    2,627.96/3,939.55 = 1,312.12/x
  3. Step 3: Cross multiply
    2,627.96x = 3,939.55 × 1,312.12
  4. Step 4: Simplify right side
    2,627.96x = 5,169,162.35
  5. Step 5: Solve for x
    x = 5,169,162.35/2,627.96
  6. Step 6: Final answer
    x = 1,966.99

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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.