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Finding the Fourth Proportional to 2,036.50, 2,809.91 and 1,328.28

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Solution

The fourth proportional to 2,036.50, 2,809.91 and 1,328.28 is: 1,832.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.50 : 2,809.91 = 1,328.28 : x
  2. Step 2: Convert to fraction form
    2,036.50/2,809.91 = 1,328.28/x
  3. Step 3: Cross multiply
    2,036.50x = 2,809.91 × 1,328.28
  4. Step 4: Simplify right side
    2,036.50x = 3,732,347.25
  5. Step 5: Solve for x
    x = 3,732,347.25/2,036.50
  6. Step 6: Final answer
    x = 1,832.73

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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.