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Finding the Fourth Proportional to 2,331.69, 3,497.68 and 945.68

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Solution

The fourth proportional to 2,331.69, 3,497.68 and 945.68 is: 1,418.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.69 : 3,497.68 = 945.68 : x
  2. Step 2: Convert to fraction form
    2,331.69/3,497.68 = 945.68/x
  3. Step 3: Cross multiply
    2,331.69x = 3,497.68 × 945.68
  4. Step 4: Simplify right side
    2,331.69x = 3,307,669.72
  5. Step 5: Solve for x
    x = 3,307,669.72/2,331.69
  6. Step 6: Final answer
    x = 1,418.57

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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.