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Finding the Fourth Proportional to 1,760.29, 2,639.67 and 836.11

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Solution

The fourth proportional to 1,760.29, 2,639.67 and 836.11 is: 1,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.29 : 2,639.67 = 836.11 : x
  2. Step 2: Convert to fraction form
    1,760.29/2,639.67 = 836.11/x
  3. Step 3: Cross multiply
    1,760.29x = 2,639.67 × 836.11
  4. Step 4: Simplify right side
    1,760.29x = 2,207,054.48
  5. Step 5: Solve for x
    x = 2,207,054.48/1,760.29
  6. Step 6: Final answer
    x = 1,253.80

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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.