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Finding the Fourth Proportional to 1,615.40, 2,423.46 and 519.82

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Solution

The fourth proportional to 1,615.40, 2,423.46 and 519.82 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.40 : 2,423.46 = 519.82 : x
  2. Step 2: Convert to fraction form
    1,615.40/2,423.46 = 519.82/x
  3. Step 3: Cross multiply
    1,615.40x = 2,423.46 × 519.82
  4. Step 4: Simplify right side
    1,615.40x = 1,259,762.98
  5. Step 5: Solve for x
    x = 1,259,762.98/1,615.40
  6. Step 6: Final answer
    x = 779.85

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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.