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Finding the Fourth Proportional to 1,980.27, 2,732.93 and 1,234.32

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Solution

The fourth proportional to 1,980.27, 2,732.93 and 1,234.32 is: 1,703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.27 : 2,732.93 = 1,234.32 : x
  2. Step 2: Convert to fraction form
    1,980.27/2,732.93 = 1,234.32/x
  3. Step 3: Cross multiply
    1,980.27x = 2,732.93 × 1,234.32
  4. Step 4: Simplify right side
    1,980.27x = 3,373,303.99
  5. Step 5: Solve for x
    x = 3,373,303.99/1,980.27
  6. Step 6: Final answer
    x = 1,703.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.