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Finding the Fourth Proportional to 2,333.79, 3,500.61 and 947.09

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Solution

The fourth proportional to 2,333.79, 3,500.61 and 947.09 is: 1,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.79 : 3,500.61 = 947.09 : x
  2. Step 2: Convert to fraction form
    2,333.79/3,500.61 = 947.09/x
  3. Step 3: Cross multiply
    2,333.79x = 3,500.61 × 947.09
  4. Step 4: Simplify right side
    2,333.79x = 3,315,375.22
  5. Step 5: Solve for x
    x = 3,315,375.22/2,333.79
  6. Step 6: Final answer
    x = 1,420.60

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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.