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Finding the Fourth Proportional to 2,458.71, 3,393.32 and 1,410.75

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Solution

The fourth proportional to 2,458.71, 3,393.32 and 1,410.75 is: 1,947.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.71 : 3,393.32 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    2,458.71/3,393.32 = 1,410.75/x
  3. Step 3: Cross multiply
    2,458.71x = 3,393.32 × 1,410.75
  4. Step 4: Simplify right side
    2,458.71x = 4,787,119.14
  5. Step 5: Solve for x
    x = 4,787,119.14/2,458.71
  6. Step 6: Final answer
    x = 1,947.00

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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.