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Finding the Fourth Proportional to 2,013.12, 3,014.16 and 1,703.28

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Solution

The fourth proportional to 2,013.12, 3,014.16 and 1,703.28 is: 2,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.12 : 3,014.16 = 1,703.28 : x
  2. Step 2: Convert to fraction form
    2,013.12/3,014.16 = 1,703.28/x
  3. Step 3: Cross multiply
    2,013.12x = 3,014.16 × 1,703.28
  4. Step 4: Simplify right side
    2,013.12x = 5,133,958.44
  5. Step 5: Solve for x
    x = 5,133,958.44/2,013.12
  6. Step 6: Final answer
    x = 2,550.25

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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.