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Finding the Fourth Proportional to 2,176.84, 3,267.08 and 1,081.56

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Solution

The fourth proportional to 2,176.84, 3,267.08 and 1,081.56 is: 1,623.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.84 : 3,267.08 = 1,081.56 : x
  2. Step 2: Convert to fraction form
    2,176.84/3,267.08 = 1,081.56/x
  3. Step 3: Cross multiply
    2,176.84x = 3,267.08 × 1,081.56
  4. Step 4: Simplify right side
    2,176.84x = 3,533,543.04
  5. Step 5: Solve for x
    x = 3,533,543.04/2,176.84
  6. Step 6: Final answer
    x = 1,623.24

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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.