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Finding the Fourth Proportional to 2,674.03, 3,688.42 and 1,715.42

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Solution

The fourth proportional to 2,674.03, 3,688.42 and 1,715.42 is: 2,366.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.03 : 3,688.42 = 1,715.42 : x
  2. Step 2: Convert to fraction form
    2,674.03/3,688.42 = 1,715.42/x
  3. Step 3: Cross multiply
    2,674.03x = 3,688.42 × 1,715.42
  4. Step 4: Simplify right side
    2,674.03x = 6,327,194.37
  5. Step 5: Solve for x
    x = 6,327,194.37/2,674.03
  6. Step 6: Final answer
    x = 2,366.17

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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.