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Finding the Fourth Proportional to 3,476.91, 4,798.08 and 1,984.85

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Solution

The fourth proportional to 3,476.91, 4,798.08 and 1,984.85 is: 2,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.91 : 4,798.08 = 1,984.85 : x
  2. Step 2: Convert to fraction form
    3,476.91/4,798.08 = 1,984.85/x
  3. Step 3: Cross multiply
    3,476.91x = 4,798.08 × 1,984.85
  4. Step 4: Simplify right side
    3,476.91x = 9,523,445.10
  5. Step 5: Solve for x
    x = 9,523,445.10/3,476.91
  6. Step 6: Final answer
    x = 2,739.05

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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.