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Finding the Fourth Proportional to 2,206.79, 3,311.35 and 975.05

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Solution

The fourth proportional to 2,206.79, 3,311.35 and 975.05 is: 1,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206.79 : 3,311.35 = 975.05 : x
  2. Step 2: Convert to fraction form
    2,206.79/3,311.35 = 975.05/x
  3. Step 3: Cross multiply
    2,206.79x = 3,311.35 × 975.05
  4. Step 4: Simplify right side
    2,206.79x = 3,228,731.82
  5. Step 5: Solve for x
    x = 3,228,731.82/2,206.79
  6. Step 6: Final answer
    x = 1,463.09

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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.