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Finding the Fourth Proportional to 3,027.36, 4,177.72 and 1,701

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Solution

The fourth proportional to 3,027.36, 4,177.72 and 1,701 is: 2,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.36 : 4,177.72 = 1,701 : x
  2. Step 2: Convert to fraction form
    3,027.36/4,177.72 = 1,701/x
  3. Step 3: Cross multiply
    3,027.36x = 4,177.72 × 1,701
  4. Step 4: Simplify right side
    3,027.36x = 7,106,301.72
  5. Step 5: Solve for x
    x = 7,106,301.72/3,027.36
  6. Step 6: Final answer
    x = 2,347.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.