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Finding the Fourth Proportional to 1,634.63, 2,455.10 and 1,400.90

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Solution

The fourth proportional to 1,634.63, 2,455.10 and 1,400.90 is: 2,104.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.63 : 2,455.10 = 1,400.90 : x
  2. Step 2: Convert to fraction form
    1,634.63/2,455.10 = 1,400.90/x
  3. Step 3: Cross multiply
    1,634.63x = 2,455.10 × 1,400.90
  4. Step 4: Simplify right side
    1,634.63x = 3,439,330.31
  5. Step 5: Solve for x
    x = 3,439,330.31/1,634.63
  6. Step 6: Final answer
    x = 2,104.04

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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.