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Finding the Fourth Proportional to 2,957.88, 4,082.46 and 1,699.80

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Solution

The fourth proportional to 2,957.88, 4,082.46 and 1,699.80 is: 2,346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.88 : 4,082.46 = 1,699.80 : x
  2. Step 2: Convert to fraction form
    2,957.88/4,082.46 = 1,699.80/x
  3. Step 3: Cross multiply
    2,957.88x = 4,082.46 × 1,699.80
  4. Step 4: Simplify right side
    2,957.88x = 6,939,365.51
  5. Step 5: Solve for x
    x = 6,939,365.51/2,957.88
  6. Step 6: Final answer
    x = 2,346.06

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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.