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Finding the Fourth Proportional to 2,656.19, 3,991.58 and 2,505.23

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Solution

The fourth proportional to 2,656.19, 3,991.58 and 2,505.23 is: 3,764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.19 : 3,991.58 = 2,505.23 : x
  2. Step 2: Convert to fraction form
    2,656.19/3,991.58 = 2,505.23/x
  3. Step 3: Cross multiply
    2,656.19x = 3,991.58 × 2,505.23
  4. Step 4: Simplify right side
    2,656.19x = 9,999,817.84
  5. Step 5: Solve for x
    x = 9,999,817.84/2,656.19
  6. Step 6: Final answer
    x = 3,764.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.