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Finding the Fourth Proportional to 1,366.90, 2,050.25 and 817.85

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Solution

The fourth proportional to 1,366.90, 2,050.25 and 817.85 is: 1,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.90 : 2,050.25 = 817.85 : x
  2. Step 2: Convert to fraction form
    1,366.90/2,050.25 = 817.85/x
  3. Step 3: Cross multiply
    1,366.90x = 2,050.25 × 817.85
  4. Step 4: Simplify right side
    1,366.90x = 1,676,798.00
  5. Step 5: Solve for x
    x = 1,676,798.00/1,366.90
  6. Step 6: Final answer
    x = 1,226.72

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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.