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Finding the Fourth Proportional to 2,137.60, 3,203.52 and 1,406.08

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Solution

The fourth proportional to 2,137.60, 3,203.52 and 1,406.08 is: 2,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.60 : 3,203.52 = 1,406.08 : x
  2. Step 2: Convert to fraction form
    2,137.60/3,203.52 = 1,406.08/x
  3. Step 3: Cross multiply
    2,137.60x = 3,203.52 × 1,406.08
  4. Step 4: Simplify right side
    2,137.60x = 4,504,405.40
  5. Step 5: Solve for x
    x = 4,504,405.40/2,137.60
  6. Step 6: Final answer
    x = 2,107.23

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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.