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Finding the Fourth Proportional to 2,451.76, 3,660.65 and 2,206.06

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Solution

The fourth proportional to 2,451.76, 3,660.65 and 2,206.06 is: 3,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.76 : 3,660.65 = 2,206.06 : x
  2. Step 2: Convert to fraction form
    2,451.76/3,660.65 = 2,206.06/x
  3. Step 3: Cross multiply
    2,451.76x = 3,660.65 × 2,206.06
  4. Step 4: Simplify right side
    2,451.76x = 8,075,613.54
  5. Step 5: Solve for x
    x = 8,075,613.54/2,451.76
  6. Step 6: Final answer
    x = 3,293.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.