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Finding the Fourth Proportional to 1,426.51, 2,137.74 and 644.56

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Solution

The fourth proportional to 1,426.51, 2,137.74 and 644.56 is: 965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.51 : 2,137.74 = 644.56 : x
  2. Step 2: Convert to fraction form
    1,426.51/2,137.74 = 644.56/x
  3. Step 3: Cross multiply
    1,426.51x = 2,137.74 × 644.56
  4. Step 4: Simplify right side
    1,426.51x = 1,377,897.56
  5. Step 5: Solve for x
    x = 1,377,897.56/1,426.51
  6. Step 6: Final answer
    x = 965.92

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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.