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Finding the Fourth Proportional to 1,850.58, 2,555.01 and 1,410.75

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Solution

The fourth proportional to 1,850.58, 2,555.01 and 1,410.75 is: 1,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.58 : 2,555.01 = 1,410.75 : x
  2. Step 2: Convert to fraction form
    1,850.58/2,555.01 = 1,410.75/x
  3. Step 3: Cross multiply
    1,850.58x = 2,555.01 × 1,410.75
  4. Step 4: Simplify right side
    1,850.58x = 3,604,480.36
  5. Step 5: Solve for x
    x = 3,604,480.36/1,850.58
  6. Step 6: Final answer
    x = 1,947.76

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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.