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Finding the Fourth Proportional to 1,586.94, 2,375.63 and 854.30

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Solution

The fourth proportional to 1,586.94, 2,375.63 and 854.30 is: 1,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.94 : 2,375.63 = 854.30 : x
  2. Step 2: Convert to fraction form
    1,586.94/2,375.63 = 854.30/x
  3. Step 3: Cross multiply
    1,586.94x = 2,375.63 × 854.30
  4. Step 4: Simplify right side
    1,586.94x = 2,029,492.22
  5. Step 5: Solve for x
    x = 2,029,492.22/1,586.94
  6. Step 6: Final answer
    x = 1,278.87

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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.