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Finding the Fourth Proportional to 1,589.93, 2,384.30 and 549.63

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Solution

The fourth proportional to 1,589.93, 2,384.30 and 549.63 is: 824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.93 : 2,384.30 = 549.63 : x
  2. Step 2: Convert to fraction form
    1,589.93/2,384.30 = 549.63/x
  3. Step 3: Cross multiply
    1,589.93x = 2,384.30 × 549.63
  4. Step 4: Simplify right side
    1,589.93x = 1,310,480.06
  5. Step 5: Solve for x
    x = 1,310,480.06/1,589.93
  6. Step 6: Final answer
    x = 824.24

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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.