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Finding the Fourth Proportional to 1,589.83, 2,384.85 and 549.93

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Solution

The fourth proportional to 1,589.83, 2,384.85 and 549.93 is: 824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,589.83 : 2,384.85 = 549.93 : x
  2. Step 2: Convert to fraction form
    1,589.83/2,384.85 = 549.93/x
  3. Step 3: Cross multiply
    1,589.83x = 2,384.85 × 549.93
  4. Step 4: Simplify right side
    1,589.83x = 1,311,498.50
  5. Step 5: Solve for x
    x = 1,311,498.50/1,589.83
  6. Step 6: Final answer
    x = 824.93

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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.