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Finding the Fourth Proportional to 1,957.85, 2,935.38 and 917.28

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Solution

The fourth proportional to 1,957.85, 2,935.38 and 917.28 is: 1,375.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.85 : 2,935.38 = 917.28 : x
  2. Step 2: Convert to fraction form
    1,957.85/2,935.38 = 917.28/x
  3. Step 3: Cross multiply
    1,957.85x = 2,935.38 × 917.28
  4. Step 4: Simplify right side
    1,957.85x = 2,692,576.37
  5. Step 5: Solve for x
    x = 2,692,576.37/1,957.85
  6. Step 6: Final answer
    x = 1,375.27

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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.