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Finding the Fourth Proportional to 2,443.85, 3,665.79 and 594.98

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Solution

The fourth proportional to 2,443.85, 3,665.79 and 594.98 is: 892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.85 : 3,665.79 = 594.98 : x
  2. Step 2: Convert to fraction form
    2,443.85/3,665.79 = 594.98/x
  3. Step 3: Cross multiply
    2,443.85x = 3,665.79 × 594.98
  4. Step 4: Simplify right side
    2,443.85x = 2,181,050.43
  5. Step 5: Solve for x
    x = 2,181,050.43/2,443.85
  6. Step 6: Final answer
    x = 892.46

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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.