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Finding the Fourth Proportional to 1,771.13, 2,657.87 and 1,757.45

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Solution

The fourth proportional to 1,771.13, 2,657.87 and 1,757.45 is: 2,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.13 : 2,657.87 = 1,757.45 : x
  2. Step 2: Convert to fraction form
    1,771.13/2,657.87 = 1,757.45/x
  3. Step 3: Cross multiply
    1,771.13x = 2,657.87 × 1,757.45
  4. Step 4: Simplify right side
    1,771.13x = 4,671,078.08
  5. Step 5: Solve for x
    x = 4,671,078.08/1,771.13
  6. Step 6: Final answer
    x = 2,637.34

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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.