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Finding the Fourth Proportional to 2,400.29, 3,313.20 and 1,405.88

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Solution

The fourth proportional to 2,400.29, 3,313.20 and 1,405.88 is: 1,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.29 : 3,313.20 = 1,405.88 : x
  2. Step 2: Convert to fraction form
    2,400.29/3,313.20 = 1,405.88/x
  3. Step 3: Cross multiply
    2,400.29x = 3,313.20 × 1,405.88
  4. Step 4: Simplify right side
    2,400.29x = 4,657,961.62
  5. Step 5: Solve for x
    x = 4,657,961.62/2,400.29
  6. Step 6: Final answer
    x = 1,940.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.