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Finding the Fourth Proportional to 3,206.68, 4,807.80 and 1,259.08

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Solution

The fourth proportional to 3,206.68, 4,807.80 and 1,259.08 is: 1,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.68 : 4,807.80 = 1,259.08 : x
  2. Step 2: Convert to fraction form
    3,206.68/4,807.80 = 1,259.08/x
  3. Step 3: Cross multiply
    3,206.68x = 4,807.80 × 1,259.08
  4. Step 4: Simplify right side
    3,206.68x = 6,053,404.82
  5. Step 5: Solve for x
    x = 6,053,404.82/3,206.68
  6. Step 6: Final answer
    x = 1,887.75

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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.