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Finding the Fourth Proportional to 1,449.63, 1,999.74 and 917.61

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Solution

The fourth proportional to 1,449.63, 1,999.74 and 917.61 is: 1,265.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.63 : 1,999.74 = 917.61 : x
  2. Step 2: Convert to fraction form
    1,449.63/1,999.74 = 917.61/x
  3. Step 3: Cross multiply
    1,449.63x = 1,999.74 × 917.61
  4. Step 4: Simplify right side
    1,449.63x = 1,834,984.86
  5. Step 5: Solve for x
    x = 1,834,984.86/1,449.63
  6. Step 6: Final answer
    x = 1,265.83

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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.