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Finding the Fourth Proportional to 2,865.26, 3,953.93 and 1,606.32

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Solution

The fourth proportional to 2,865.26, 3,953.93 and 1,606.32 is: 2,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.26 : 3,953.93 = 1,606.32 : x
  2. Step 2: Convert to fraction form
    2,865.26/3,953.93 = 1,606.32/x
  3. Step 3: Cross multiply
    2,865.26x = 3,953.93 × 1,606.32
  4. Step 4: Simplify right side
    2,865.26x = 6,351,268.81
  5. Step 5: Solve for x
    x = 6,351,268.81/2,865.26
  6. Step 6: Final answer
    x = 2,216.65

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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.