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Finding the Fourth Proportional to 2,443.54, 3,665.31 and 594.65

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Solution

The fourth proportional to 2,443.54, 3,665.31 and 594.65 is: 891.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.54 : 3,665.31 = 594.65 : x
  2. Step 2: Convert to fraction form
    2,443.54/3,665.31 = 594.65/x
  3. Step 3: Cross multiply
    2,443.54x = 3,665.31 × 594.65
  4. Step 4: Simplify right side
    2,443.54x = 2,179,592.63
  5. Step 5: Solve for x
    x = 2,179,592.63/2,443.54
  6. Step 6: Final answer
    x = 891.98

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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.