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Finding the Fourth Proportional to 2,350.64, 3,239.42 and 1,686.35

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Solution

The fourth proportional to 2,350.64, 3,239.42 and 1,686.35 is: 2,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.64 : 3,239.42 = 1,686.35 : x
  2. Step 2: Convert to fraction form
    2,350.64/3,239.42 = 1,686.35/x
  3. Step 3: Cross multiply
    2,350.64x = 3,239.42 × 1,686.35
  4. Step 4: Simplify right side
    2,350.64x = 5,462,795.58
  5. Step 5: Solve for x
    x = 5,462,795.58/2,350.64
  6. Step 6: Final answer
    x = 2,323.96

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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.