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Finding the Fourth Proportional to 1,342.08, 2,012.88 and 950.82

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Solution

The fourth proportional to 1,342.08, 2,012.88 and 950.82 is: 1,426.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.08 : 2,012.88 = 950.82 : x
  2. Step 2: Convert to fraction form
    1,342.08/2,012.88 = 950.82/x
  3. Step 3: Cross multiply
    1,342.08x = 2,012.88 × 950.82
  4. Step 4: Simplify right side
    1,342.08x = 1,913,886.56
  5. Step 5: Solve for x
    x = 1,913,886.56/1,342.08
  6. Step 6: Final answer
    x = 1,426.06

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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.