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Finding the Fourth Proportional to 2,176.64, 3,262.08 and 1,020.80

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Solution

The fourth proportional to 2,176.64, 3,262.08 and 1,020.80 is: 1,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.64 : 3,262.08 = 1,020.80 : x
  2. Step 2: Convert to fraction form
    2,176.64/3,262.08 = 1,020.80/x
  3. Step 3: Cross multiply
    2,176.64x = 3,262.08 × 1,020.80
  4. Step 4: Simplify right side
    2,176.64x = 3,329,931.26
  5. Step 5: Solve for x
    x = 3,329,931.26/2,176.64
  6. Step 6: Final answer
    x = 1,529.85

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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.