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Finding the Fourth Proportional to 2,423.34, 3,635.19 and 780.66

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Solution

The fourth proportional to 2,423.34, 3,635.19 and 780.66 is: 1,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,423.34 : 3,635.19 = 780.66 : x
  2. Step 2: Convert to fraction form
    2,423.34/3,635.19 = 780.66/x
  3. Step 3: Cross multiply
    2,423.34x = 3,635.19 × 780.66
  4. Step 4: Simplify right side
    2,423.34x = 2,837,847.43
  5. Step 5: Solve for x
    x = 2,837,847.43/2,423.34
  6. Step 6: Final answer
    x = 1,171.05

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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.