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Finding the Fourth Proportional to 1,545.82, 2,314.31 and 959.06

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Solution

The fourth proportional to 1,545.82, 2,314.31 and 959.06 is: 1,435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.82 : 2,314.31 = 959.06 : x
  2. Step 2: Convert to fraction form
    1,545.82/2,314.31 = 959.06/x
  3. Step 3: Cross multiply
    1,545.82x = 2,314.31 × 959.06
  4. Step 4: Simplify right side
    1,545.82x = 2,219,563.14
  5. Step 5: Solve for x
    x = 2,219,563.14/1,545.82
  6. Step 6: Final answer
    x = 1,435.85

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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.