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Finding the Fourth Proportional to 1,615.89, 2,423.43 and 520.02

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Solution

The fourth proportional to 1,615.89, 2,423.43 and 520.02 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.89 : 2,423.43 = 520.02 : x
  2. Step 2: Convert to fraction form
    1,615.89/2,423.43 = 520.02/x
  3. Step 3: Cross multiply
    1,615.89x = 2,423.43 × 520.02
  4. Step 4: Simplify right side
    1,615.89x = 1,260,232.07
  5. Step 5: Solve for x
    x = 1,260,232.07/1,615.89
  6. Step 6: Final answer
    x = 779.90

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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.