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Finding the Fourth Proportional to 3,208.76, 4,805.08 and 2,035.20

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Solution

The fourth proportional to 3,208.76, 4,805.08 and 2,035.20 is: 3,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.76 : 4,805.08 = 2,035.20 : x
  2. Step 2: Convert to fraction form
    3,208.76/4,805.08 = 2,035.20/x
  3. Step 3: Cross multiply
    3,208.76x = 4,805.08 × 2,035.20
  4. Step 4: Simplify right side
    3,208.76x = 9,779,298.82
  5. Step 5: Solve for x
    x = 9,779,298.82/3,208.76
  6. Step 6: Final answer
    x = 3,047.69

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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.