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Finding the Fourth Proportional to 1,589.66, 2,384.18 and 549.69

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Solution

The fourth proportional to 1,589.66, 2,384.18 and 549.69 is: 824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.66 : 2,384.18 = 549.69 : x
  2. Step 2: Convert to fraction form
    1,589.66/2,384.18 = 549.69/x
  3. Step 3: Cross multiply
    1,589.66x = 2,384.18 × 549.69
  4. Step 4: Simplify right side
    1,589.66x = 1,310,557.16
  5. Step 5: Solve for x
    x = 1,310,557.16/1,589.66
  6. Step 6: Final answer
    x = 824.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.