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Finding the Fourth Proportional to 2,400.56, 3,312.83 and 1,323.87

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Solution

The fourth proportional to 2,400.56, 3,312.83 and 1,323.87 is: 1,826.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.56 : 3,312.83 = 1,323.87 : x
  2. Step 2: Convert to fraction form
    2,400.56/3,312.83 = 1,323.87/x
  3. Step 3: Cross multiply
    2,400.56x = 3,312.83 × 1,323.87
  4. Step 4: Simplify right side
    2,400.56x = 4,385,756.25
  5. Step 5: Solve for x
    x = 4,385,756.25/2,400.56
  6. Step 6: Final answer
    x = 1,826.97

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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.