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Finding the Fourth Proportional to 2,365.44, 3,265.23 and 1,657.32

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Solution

The fourth proportional to 2,365.44, 3,265.23 and 1,657.32 is: 2,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.44 : 3,265.23 = 1,657.32 : x
  2. Step 2: Convert to fraction form
    2,365.44/3,265.23 = 1,657.32/x
  3. Step 3: Cross multiply
    2,365.44x = 3,265.23 × 1,657.32
  4. Step 4: Simplify right side
    2,365.44x = 5,411,530.98
  5. Step 5: Solve for x
    x = 5,411,530.98/2,365.44
  6. Step 6: Final answer
    x = 2,287.75

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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.