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Finding the Fourth Proportional to 2,316.16, 3,474.79 and 756.17

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Solution

The fourth proportional to 2,316.16, 3,474.79 and 756.17 is: 1,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.16 : 3,474.79 = 756.17 : x
  2. Step 2: Convert to fraction form
    2,316.16/3,474.79 = 756.17/x
  3. Step 3: Cross multiply
    2,316.16x = 3,474.79 × 756.17
  4. Step 4: Simplify right side
    2,316.16x = 2,627,538.75
  5. Step 5: Solve for x
    x = 2,627,538.75/2,316.16
  6. Step 6: Final answer
    x = 1,134.44

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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.