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Finding the Fourth Proportional to 1,449.57, 1,999.62 and 917.49

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Solution

The fourth proportional to 1,449.57, 1,999.62 and 917.49 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.57 : 1,999.62 = 917.49 : x
  2. Step 2: Convert to fraction form
    1,449.57/1,999.62 = 917.49/x
  3. Step 3: Cross multiply
    1,449.57x = 1,999.62 × 917.49
  4. Step 4: Simplify right side
    1,449.57x = 1,834,631.35
  5. Step 5: Solve for x
    x = 1,834,631.35/1,449.57
  6. Step 6: Final answer
    x = 1,265.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.