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Finding the Fourth Proportional to 2,341.38, 3,509.43 and 952.98

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Solution

The fourth proportional to 2,341.38, 3,509.43 and 952.98 is: 1,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.38 : 3,509.43 = 952.98 : x
  2. Step 2: Convert to fraction form
    2,341.38/3,509.43 = 952.98/x
  3. Step 3: Cross multiply
    2,341.38x = 3,509.43 × 952.98
  4. Step 4: Simplify right side
    2,341.38x = 3,344,399.87
  5. Step 5: Solve for x
    x = 3,344,399.87/2,341.38
  6. Step 6: Final answer
    x = 1,428.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.