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Finding the Fourth Proportional to 2,636.56, 3,639.66 and 1,880.92

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Solution

The fourth proportional to 2,636.56, 3,639.66 and 1,880.92 is: 2,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.56 : 3,639.66 = 1,880.92 : x
  2. Step 2: Convert to fraction form
    2,636.56/3,639.66 = 1,880.92/x
  3. Step 3: Cross multiply
    2,636.56x = 3,639.66 × 1,880.92
  4. Step 4: Simplify right side
    2,636.56x = 6,845,909.29
  5. Step 5: Solve for x
    x = 6,845,909.29/2,636.56
  6. Step 6: Final answer
    x = 2,596.53

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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.