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Finding the Fourth Proportional to 2,400.64, 3,313.04 and 1,352.76

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Solution

The fourth proportional to 2,400.64, 3,313.04 and 1,352.76 is: 1,866.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.64 : 3,313.04 = 1,352.76 : x
  2. Step 2: Convert to fraction form
    2,400.64/3,313.04 = 1,352.76/x
  3. Step 3: Cross multiply
    2,400.64x = 3,313.04 × 1,352.76
  4. Step 4: Simplify right side
    2,400.64x = 4,481,747.99
  5. Step 5: Solve for x
    x = 4,481,747.99/2,400.64
  6. Step 6: Final answer
    x = 1,866.90

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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.