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Finding the Fourth Proportional to 2,206.54, 3,309.80 and 1,036.53

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Solution

The fourth proportional to 2,206.54, 3,309.80 and 1,036.53 is: 1,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.54 : 3,309.80 = 1,036.53 : x
  2. Step 2: Convert to fraction form
    2,206.54/3,309.80 = 1,036.53/x
  3. Step 3: Cross multiply
    2,206.54x = 3,309.80 × 1,036.53
  4. Step 4: Simplify right side
    2,206.54x = 3,430,714.22
  5. Step 5: Solve for x
    x = 3,430,714.22/2,206.54
  6. Step 6: Final answer
    x = 1,554.80

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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.