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Finding the Fourth Proportional to 2,333.08, 3,500.40 and 946.72

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Solution

The fourth proportional to 2,333.08, 3,500.40 and 946.72 is: 1,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.08 : 3,500.40 = 946.72 : x
  2. Step 2: Convert to fraction form
    2,333.08/3,500.40 = 946.72/x
  3. Step 3: Cross multiply
    2,333.08x = 3,500.40 × 946.72
  4. Step 4: Simplify right side
    2,333.08x = 3,313,898.69
  5. Step 5: Solve for x
    x = 3,313,898.69/2,333.08
  6. Step 6: Final answer
    x = 1,420.40

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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.