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Finding the Fourth Proportional to 1,876.26, 2,814.72 and 643.58

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Solution

The fourth proportional to 1,876.26, 2,814.72 and 643.58 is: 965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.26 : 2,814.72 = 643.58 : x
  2. Step 2: Convert to fraction form
    1,876.26/2,814.72 = 643.58/x
  3. Step 3: Cross multiply
    1,876.26x = 2,814.72 × 643.58
  4. Step 4: Simplify right side
    1,876.26x = 1,811,491.57
  5. Step 5: Solve for x
    x = 1,811,491.57/1,876.26
  6. Step 6: Final answer
    x = 965.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.