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Finding the Fourth Proportional to 1,957.10, 2,933.70 and 917.60

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Solution

The fourth proportional to 1,957.10, 2,933.70 and 917.60 is: 1,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.10 : 2,933.70 = 917.60 : x
  2. Step 2: Convert to fraction form
    1,957.10/2,933.70 = 917.60/x
  3. Step 3: Cross multiply
    1,957.10x = 2,933.70 × 917.60
  4. Step 4: Simplify right side
    1,957.10x = 2,691,963.12
  5. Step 5: Solve for x
    x = 2,691,963.12/1,957.10
  6. Step 6: Final answer
    x = 1,375.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.