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Finding the Fourth Proportional to 2,895.43, 4,342.89 and 786.98

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Solution

The fourth proportional to 2,895.43, 4,342.89 and 786.98 is: 1,180.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.43 : 4,342.89 = 786.98 : x
  2. Step 2: Convert to fraction form
    2,895.43/4,342.89 = 786.98/x
  3. Step 3: Cross multiply
    2,895.43x = 4,342.89 × 786.98
  4. Step 4: Simplify right side
    2,895.43x = 3,417,745.86
  5. Step 5: Solve for x
    x = 3,417,745.86/2,895.43
  6. Step 6: Final answer
    x = 1,180.39

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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.