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Finding the Fourth Proportional to 1,425.15, 2,137.87 and 385.15

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Solution

The fourth proportional to 1,425.15, 2,137.87 and 385.15 is: 577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.15 : 2,137.87 = 385.15 : x
  2. Step 2: Convert to fraction form
    1,425.15/2,137.87 = 385.15/x
  3. Step 3: Cross multiply
    1,425.15x = 2,137.87 × 385.15
  4. Step 4: Simplify right side
    1,425.15x = 823,404.05
  5. Step 5: Solve for x
    x = 823,404.05/1,425.15
  6. Step 6: Final answer
    x = 577.77

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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.