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Finding the Fourth Proportional to 1,700.08, 2,551.68 and 1,265.92

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Solution

The fourth proportional to 1,700.08, 2,551.68 and 1,265.92 is: 1,900.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.08 : 2,551.68 = 1,265.92 : x
  2. Step 2: Convert to fraction form
    1,700.08/2,551.68 = 1,265.92/x
  3. Step 3: Cross multiply
    1,700.08x = 2,551.68 × 1,265.92
  4. Step 4: Simplify right side
    1,700.08x = 3,230,222.75
  5. Step 5: Solve for x
    x = 3,230,222.75/1,700.08
  6. Step 6: Final answer
    x = 1,900.04

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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.