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Finding the Fourth Proportional to 1,957.42, 2,935.50 and 1,828

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Solution

The fourth proportional to 1,957.42, 2,935.50 and 1,828 is: 2,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.42 : 2,935.50 = 1,828 : x
  2. Step 2: Convert to fraction form
    1,957.42/2,935.50 = 1,828/x
  3. Step 3: Cross multiply
    1,957.42x = 2,935.50 × 1,828
  4. Step 4: Simplify right side
    1,957.42x = 5,366,094
  5. Step 5: Solve for x
    x = 5,366,094/1,957.42
  6. Step 6: Final answer
    x = 2,741.41

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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.