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Finding the Fourth Proportional to 2,014.92, 2,780.15 and 1,175.76

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Solution

The fourth proportional to 2,014.92, 2,780.15 and 1,175.76 is: 1,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.92 : 2,780.15 = 1,175.76 : x
  2. Step 2: Convert to fraction form
    2,014.92/2,780.15 = 1,175.76/x
  3. Step 3: Cross multiply
    2,014.92x = 2,780.15 × 1,175.76
  4. Step 4: Simplify right side
    2,014.92x = 3,268,783.29
  5. Step 5: Solve for x
    x = 3,268,783.29/2,014.92
  6. Step 6: Final answer
    x = 1,622.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.