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Finding the Fourth Proportional to 2,807.67, 4,206.69 and 1,984.59

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Solution

The fourth proportional to 2,807.67, 4,206.69 and 1,984.59 is: 2,973.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.67 : 4,206.69 = 1,984.59 : x
  2. Step 2: Convert to fraction form
    2,807.67/4,206.69 = 1,984.59/x
  3. Step 3: Cross multiply
    2,807.67x = 4,206.69 × 1,984.59
  4. Step 4: Simplify right side
    2,807.67x = 8,348,554.91
  5. Step 5: Solve for x
    x = 8,348,554.91/2,807.67
  6. Step 6: Final answer
    x = 2,973.48

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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.