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Finding the Fourth Proportional to 2,957.90, 4,082.10 and 1,699.37

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Solution

The fourth proportional to 2,957.90, 4,082.10 and 1,699.37 is: 2,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.90 : 4,082.10 = 1,699.37 : x
  2. Step 2: Convert to fraction form
    2,957.90/4,082.10 = 1,699.37/x
  3. Step 3: Cross multiply
    2,957.90x = 4,082.10 × 1,699.37
  4. Step 4: Simplify right side
    2,957.90x = 6,936,977.87
  5. Step 5: Solve for x
    x = 6,936,977.87/2,957.90
  6. Step 6: Final answer
    x = 2,345.24

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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.