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Finding the Fourth Proportional to 2,973.33, 4,103.13 and 1,647.05

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Solution

The fourth proportional to 2,973.33, 4,103.13 and 1,647.05 is: 2,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.33 : 4,103.13 = 1,647.05 : x
  2. Step 2: Convert to fraction form
    2,973.33/4,103.13 = 1,647.05/x
  3. Step 3: Cross multiply
    2,973.33x = 4,103.13 × 1,647.05
  4. Step 4: Simplify right side
    2,973.33x = 6,758,039.75
  5. Step 5: Solve for x
    x = 6,758,039.75/2,973.33
  6. Step 6: Final answer
    x = 2,272.89

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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.