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Finding the Fourth Proportional to 2,358.69, 3,538.61 and 715.14

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Solution

The fourth proportional to 2,358.69, 3,538.61 and 715.14 is: 1,072.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.69 : 3,538.61 = 715.14 : x
  2. Step 2: Convert to fraction form
    2,358.69/3,538.61 = 715.14/x
  3. Step 3: Cross multiply
    2,358.69x = 3,538.61 × 715.14
  4. Step 4: Simplify right side
    2,358.69x = 2,530,597.98
  5. Step 5: Solve for x
    x = 2,530,597.98/2,358.69
  6. Step 6: Final answer
    x = 1,072.88

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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.