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Finding the Fourth Proportional to 2,767.66, 4,152.53 and 1,305.77

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Solution

The fourth proportional to 2,767.66, 4,152.53 and 1,305.77 is: 1,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.66 : 4,152.53 = 1,305.77 : x
  2. Step 2: Convert to fraction form
    2,767.66/4,152.53 = 1,305.77/x
  3. Step 3: Cross multiply
    2,767.66x = 4,152.53 × 1,305.77
  4. Step 4: Simplify right side
    2,767.66x = 5,422,231.60
  5. Step 5: Solve for x
    x = 5,422,231.60/2,767.66
  6. Step 6: Final answer
    x = 1,959.14

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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.