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Finding the Fourth Proportional to 1,368.38, 2,052.57 and 342.38

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Solution

The fourth proportional to 1,368.38, 2,052.57 and 342.38 is: 513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.38 : 2,052.57 = 342.38 : x
  2. Step 2: Convert to fraction form
    1,368.38/2,052.57 = 342.38/x
  3. Step 3: Cross multiply
    1,368.38x = 2,052.57 × 342.38
  4. Step 4: Simplify right side
    1,368.38x = 702,748.65
  5. Step 5: Solve for x
    x = 702,748.65/1,368.38
  6. Step 6: Final answer
    x = 513.56

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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.