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Finding the Fourth Proportional to 1,435.82, 2,148.29 and 851.13

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Solution

The fourth proportional to 1,435.82, 2,148.29 and 851.13 is: 1,273.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.82 : 2,148.29 = 851.13 : x
  2. Step 2: Convert to fraction form
    1,435.82/2,148.29 = 851.13/x
  3. Step 3: Cross multiply
    1,435.82x = 2,148.29 × 851.13
  4. Step 4: Simplify right side
    1,435.82x = 1,828,469.81
  5. Step 5: Solve for x
    x = 1,828,469.81/1,435.82
  6. Step 6: Final answer
    x = 1,273.47

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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.