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Finding the Fourth Proportional to 2,475.36, 3,410.64 and 2,384.64

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Solution

The fourth proportional to 2,475.36, 3,410.64 and 2,384.64 is: 3,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.36 : 3,410.64 = 2,384.64 : x
  2. Step 2: Convert to fraction form
    2,475.36/3,410.64 = 2,384.64/x
  3. Step 3: Cross multiply
    2,475.36x = 3,410.64 × 2,384.64
  4. Step 4: Simplify right side
    2,475.36x = 8,133,148.57
  5. Step 5: Solve for x
    x = 8,133,148.57/2,475.36
  6. Step 6: Final answer
    x = 3,285.64

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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.