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Finding the Fourth Proportional to 2,103.39, 3,130.25 and 2,033.31

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Solution

The fourth proportional to 2,103.39, 3,130.25 and 2,033.31 is: 3,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.39 : 3,130.25 = 2,033.31 : x
  2. Step 2: Convert to fraction form
    2,103.39/3,130.25 = 2,033.31/x
  3. Step 3: Cross multiply
    2,103.39x = 3,130.25 × 2,033.31
  4. Step 4: Simplify right side
    2,103.39x = 6,364,768.63
  5. Step 5: Solve for x
    x = 6,364,768.63/2,103.39
  6. Step 6: Final answer
    x = 3,025.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.