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Finding the Fourth Proportional to 1,618.91, 2,423.74 and 1,230.48

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Solution

The fourth proportional to 1,618.91, 2,423.74 and 1,230.48 is: 1,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.91 : 2,423.74 = 1,230.48 : x
  2. Step 2: Convert to fraction form
    1,618.91/2,423.74 = 1,230.48/x
  3. Step 3: Cross multiply
    1,618.91x = 2,423.74 × 1,230.48
  4. Step 4: Simplify right side
    1,618.91x = 2,982,360.52
  5. Step 5: Solve for x
    x = 2,982,360.52/1,618.91
  6. Step 6: Final answer
    x = 1,842.21

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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.