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Finding the Fourth Proportional to 2,485.54, 3,429.57 and 1,699.30

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Solution

The fourth proportional to 2,485.54, 3,429.57 and 1,699.30 is: 2,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.54 : 3,429.57 = 1,699.30 : x
  2. Step 2: Convert to fraction form
    2,485.54/3,429.57 = 1,699.30/x
  3. Step 3: Cross multiply
    2,485.54x = 3,429.57 × 1,699.30
  4. Step 4: Simplify right side
    2,485.54x = 5,827,868.30
  5. Step 5: Solve for x
    x = 5,827,868.30/2,485.54
  6. Step 6: Final answer
    x = 2,344.71

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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.