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Finding the Fourth Proportional to 1,615.37, 2,423.19 and 519.89

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Solution

The fourth proportional to 1,615.37, 2,423.19 and 519.89 is: 779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.37 : 2,423.19 = 519.89 : x
  2. Step 2: Convert to fraction form
    1,615.37/2,423.19 = 519.89/x
  3. Step 3: Cross multiply
    1,615.37x = 2,423.19 × 519.89
  4. Step 4: Simplify right side
    1,615.37x = 1,259,780.13
  5. Step 5: Solve for x
    x = 1,259,780.13/1,615.37
  6. Step 6: Final answer
    x = 779.87

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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.