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Finding the Fourth Proportional to 1,207.30, 1,810.96 and 341.61

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Solution

The fourth proportional to 1,207.30, 1,810.96 and 341.61 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.30 : 1,810.96 = 341.61 : x
  2. Step 2: Convert to fraction form
    1,207.30/1,810.96 = 341.61/x
  3. Step 3: Cross multiply
    1,207.30x = 1,810.96 × 341.61
  4. Step 4: Simplify right side
    1,207.30x = 618,640.93
  5. Step 5: Solve for x
    x = 618,640.93/1,207.30
  6. Step 6: Final answer
    x = 512.42

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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.