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Finding the Fourth Proportional to 1,586.26, 2,377.32 and 854.26

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Solution

The fourth proportional to 1,586.26, 2,377.32 and 854.26 is: 1,280.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.26 : 2,377.32 = 854.26 : x
  2. Step 2: Convert to fraction form
    1,586.26/2,377.32 = 854.26/x
  3. Step 3: Cross multiply
    1,586.26x = 2,377.32 × 854.26
  4. Step 4: Simplify right side
    1,586.26x = 2,030,849.38
  5. Step 5: Solve for x
    x = 2,030,849.38/1,586.26
  6. Step 6: Final answer
    x = 1,280.28

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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.