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Finding the Fourth Proportional to 2,200.15, 3,036.15 and 1,205.47

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Solution

The fourth proportional to 2,200.15, 3,036.15 and 1,205.47 is: 1,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.15 : 3,036.15 = 1,205.47 : x
  2. Step 2: Convert to fraction form
    2,200.15/3,036.15 = 1,205.47/x
  3. Step 3: Cross multiply
    2,200.15x = 3,036.15 × 1,205.47
  4. Step 4: Simplify right side
    2,200.15x = 3,659,987.74
  5. Step 5: Solve for x
    x = 3,659,987.74/2,200.15
  6. Step 6: Final answer
    x = 1,663.52

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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.