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Finding the Fourth Proportional to 2,036.00, 2,809.62 and 1,104.50

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Solution

The fourth proportional to 2,036.00, 2,809.62 and 1,104.50 is: 1,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.00 : 2,809.62 = 1,104.50 : x
  2. Step 2: Convert to fraction form
    2,036.00/2,809.62 = 1,104.50/x
  3. Step 3: Cross multiply
    2,036.00x = 2,809.62 × 1,104.50
  4. Step 4: Simplify right side
    2,036.00x = 3,103,232.31
  5. Step 5: Solve for x
    x = 3,103,232.31/2,036.00
  6. Step 6: Final answer
    x = 1,524.18

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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.