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Finding the Fourth Proportional to 1,589.91, 2,384.41 and 549.64

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Solution

The fourth proportional to 1,589.91, 2,384.41 and 549.64 is: 824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.91 : 2,384.41 = 549.64 : x
  2. Step 2: Convert to fraction form
    1,589.91/2,384.41 = 549.64/x
  3. Step 3: Cross multiply
    1,589.91x = 2,384.41 × 549.64
  4. Step 4: Simplify right side
    1,589.91x = 1,310,567.11
  5. Step 5: Solve for x
    x = 1,310,567.11/1,589.91
  6. Step 6: Final answer
    x = 824.30

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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.