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Finding the Fourth Proportional to 1,615.82, 2,423.63 and 520.97

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Solution

The fourth proportional to 1,615.82, 2,423.63 and 520.97 is: 781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.82 : 2,423.63 = 520.97 : x
  2. Step 2: Convert to fraction form
    1,615.82/2,423.63 = 520.97/x
  3. Step 3: Cross multiply
    1,615.82x = 2,423.63 × 520.97
  4. Step 4: Simplify right side
    1,615.82x = 1,262,627.71
  5. Step 5: Solve for x
    x = 1,262,627.71/1,615.82
  6. Step 6: Final answer
    x = 781.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.