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Finding the Fourth Proportional to 2,605.51, 3,594.26 and 1,765.92

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Solution

The fourth proportional to 2,605.51, 3,594.26 and 1,765.92 is: 2,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.51 : 3,594.26 = 1,765.92 : x
  2. Step 2: Convert to fraction form
    2,605.51/3,594.26 = 1,765.92/x
  3. Step 3: Cross multiply
    2,605.51x = 3,594.26 × 1,765.92
  4. Step 4: Simplify right side
    2,605.51x = 6,347,180.27
  5. Step 5: Solve for x
    x = 6,347,180.27/2,605.51
  6. Step 6: Final answer
    x = 2,436.06

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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.