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Finding the Fourth Proportional to 2,310.23, 3,465.13 and 923.20

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Solution

The fourth proportional to 2,310.23, 3,465.13 and 923.20 is: 1,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.23 : 3,465.13 = 923.20 : x
  2. Step 2: Convert to fraction form
    2,310.23/3,465.13 = 923.20/x
  3. Step 3: Cross multiply
    2,310.23x = 3,465.13 × 923.20
  4. Step 4: Simplify right side
    2,310.23x = 3,199,008.02
  5. Step 5: Solve for x
    x = 3,199,008.02/2,310.23
  6. Step 6: Final answer
    x = 1,384.71

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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.