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Finding the Fourth Proportional to 1,382.09, 2,073.08 and 342.08

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Solution

The fourth proportional to 1,382.09, 2,073.08 and 342.08 is: 513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.09 : 2,073.08 = 342.08 : x
  2. Step 2: Convert to fraction form
    1,382.09/2,073.08 = 342.08/x
  3. Step 3: Cross multiply
    1,382.09x = 2,073.08 × 342.08
  4. Step 4: Simplify right side
    1,382.09x = 709,147.13
  5. Step 5: Solve for x
    x = 709,147.13/1,382.09
  6. Step 6: Final answer
    x = 513.10

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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.