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Finding the Fourth Proportional to 2,365.62, 3,263.52 and 1,657.59

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Solution

The fourth proportional to 2,365.62, 3,263.52 and 1,657.59 is: 2,286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.62 : 3,263.52 = 1,657.59 : x
  2. Step 2: Convert to fraction form
    2,365.62/3,263.52 = 1,657.59/x
  3. Step 3: Cross multiply
    2,365.62x = 3,263.52 × 1,657.59
  4. Step 4: Simplify right side
    2,365.62x = 5,409,578.12
  5. Step 5: Solve for x
    x = 5,409,578.12/2,365.62
  6. Step 6: Final answer
    x = 2,286.75

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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.