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Finding the Fourth Proportional to 2,688.66, 4,033.13 and 839.77

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Solution

The fourth proportional to 2,688.66, 4,033.13 and 839.77 is: 1,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688.66 : 4,033.13 = 839.77 : x
  2. Step 2: Convert to fraction form
    2,688.66/4,033.13 = 839.77/x
  3. Step 3: Cross multiply
    2,688.66x = 4,033.13 × 839.77
  4. Step 4: Simplify right side
    2,688.66x = 3,386,887.30
  5. Step 5: Solve for x
    x = 3,386,887.30/2,688.66
  6. Step 6: Final answer
    x = 1,259.69

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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.