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Finding the Fourth Proportional to 1,206.08, 1,803.84 and 1,118.56

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Solution

The fourth proportional to 1,206.08, 1,803.84 and 1,118.56 is: 1,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.08 : 1,803.84 = 1,118.56 : x
  2. Step 2: Convert to fraction form
    1,206.08/1,803.84 = 1,118.56/x
  3. Step 3: Cross multiply
    1,206.08x = 1,803.84 × 1,118.56
  4. Step 4: Simplify right side
    1,206.08x = 2,017,703.27
  5. Step 5: Solve for x
    x = 2,017,703.27/1,206.08
  6. Step 6: Final answer
    x = 1,672.94

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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.