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Finding the Fourth Proportional to 1,700.72, 2,548.71 and 877.27

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Solution

The fourth proportional to 1,700.72, 2,548.71 and 877.27 is: 1,314.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.72 : 2,548.71 = 877.27 : x
  2. Step 2: Convert to fraction form
    1,700.72/2,548.71 = 877.27/x
  3. Step 3: Cross multiply
    1,700.72x = 2,548.71 × 877.27
  4. Step 4: Simplify right side
    1,700.72x = 2,235,906.82
  5. Step 5: Solve for x
    x = 2,235,906.82/1,700.72
  6. Step 6: Final answer
    x = 1,314.68

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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.