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Finding the Fourth Proportional to 2,736.59, 3,776.76 and 1,688.63

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Solution

The fourth proportional to 2,736.59, 3,776.76 and 1,688.63 is: 2,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.59 : 3,776.76 = 1,688.63 : x
  2. Step 2: Convert to fraction form
    2,736.59/3,776.76 = 1,688.63/x
  3. Step 3: Cross multiply
    2,736.59x = 3,776.76 × 1,688.63
  4. Step 4: Simplify right side
    2,736.59x = 6,377,531.36
  5. Step 5: Solve for x
    x = 6,377,531.36/2,736.59
  6. Step 6: Final answer
    x = 2,330.47

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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.