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Finding the Fourth Proportional to 2,458.05, 3,392.24 and 1,410.09

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Solution

The fourth proportional to 2,458.05, 3,392.24 and 1,410.09 is: 1,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.05 : 3,392.24 = 1,410.09 : x
  2. Step 2: Convert to fraction form
    2,458.05/3,392.24 = 1,410.09/x
  3. Step 3: Cross multiply
    2,458.05x = 3,392.24 × 1,410.09
  4. Step 4: Simplify right side
    2,458.05x = 4,783,356.65
  5. Step 5: Solve for x
    x = 4,783,356.65/2,458.05
  6. Step 6: Final answer
    x = 1,946.00

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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.