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Finding the Fourth Proportional to 1,771.36, 2,657.28 and 1,663.36

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Solution

The fourth proportional to 1,771.36, 2,657.28 and 1,663.36 is: 2,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.36 : 2,657.28 = 1,663.36 : x
  2. Step 2: Convert to fraction form
    1,771.36/2,657.28 = 1,663.36/x
  3. Step 3: Cross multiply
    1,771.36x = 2,657.28 × 1,663.36
  4. Step 4: Simplify right side
    1,771.36x = 4,420,013.26
  5. Step 5: Solve for x
    x = 4,420,013.26/1,771.36
  6. Step 6: Final answer
    x = 2,495.27

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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.