Home / 2,005.12-2,767.76-1,415.96

Finding the Fourth Proportional to 2,005.12, 2,767.76 and 1,415.96

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Solution

The fourth proportional to 2,005.12, 2,767.76 and 1,415.96 is: 1,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.12 : 2,767.76 = 1,415.96 : x
  2. Step 2: Convert to fraction form
    2,005.12/2,767.76 = 1,415.96/x
  3. Step 3: Cross multiply
    2,005.12x = 2,767.76 × 1,415.96
  4. Step 4: Simplify right side
    2,005.12x = 3,919,037.45
  5. Step 5: Solve for x
    x = 3,919,037.45/2,005.12
  6. Step 6: Final answer
    x = 1,954.52

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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.