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Finding the Fourth Proportional to 1,908.01, 2,858.30 and 1,406.77

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Solution

The fourth proportional to 1,908.01, 2,858.30 and 1,406.77 is: 2,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.01 : 2,858.30 = 1,406.77 : x
  2. Step 2: Convert to fraction form
    1,908.01/2,858.30 = 1,406.77/x
  3. Step 3: Cross multiply
    1,908.01x = 2,858.30 × 1,406.77
  4. Step 4: Simplify right side
    1,908.01x = 4,020,970.69
  5. Step 5: Solve for x
    x = 4,020,970.69/1,908.01
  6. Step 6: Final answer
    x = 2,107.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.